1207561680 has 240 divisors, whose sum is σ = 4624860240. Its totient is φ = 279724032.

The previous prime is 1207561679. The next prime is 1207561687. The reversal of 1207561680 is 861657021.

1207561680 is a `hidden beast` number, since 12 + 0 + 7 + 561 + 6 + 80 = 666.

1207561680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 232623504 + 974938176 = 15252^2 + 31224^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1207561680² = 2916410422008844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1207561687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155326 + ... + 162914.

It is an arithmetic number, because the mean of its divisors is an integer number (19270251).

Almost surely, 2^1207561680 is an apocalyptic number.

1207561680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1207561680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312430120).

1207561680 is an abundant number, since it is smaller than the sum of its proper divisors (3417298560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1207561680 is a wasteful number, since it uses less digits than its factorization.

1207561680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7629 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1207561680 is about 34749.9882014368. The cubic root of 1207561680 is about 1064.8859760223.

The spelling of 1207561680 in words is "one billion, two hundred seven million, five hundred sixty-one thousand, six hundred eighty".