1207528680 has 128 divisors (see below), whose sum is σ = 3818793600. Its totient is φ = 304991232.

The previous prime is 1207528661. The next prime is 1207528687. The reversal of 1207528680 is 868257021.

It is not an unprimeable number, because it can be changed into a prime (1207528687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181167 + ... + 187713.

It is an arithmetic number, because the mean of its divisors is an integer number (29834325).

Almost surely, 2^1207528680 is an apocalyptic number.

1207528680 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 1207528680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909396800).

1207528680 is an abundant number, since it is smaller than the sum of its proper divisors (2611264920).

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

1207528680 is a wasteful number, since it uses less digits than its factorization.

1207528680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6643 (or 6639 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 1207528680 is about 34749.5133778878. The cubic root of 1207528680 is about 1064.8762756048.

It can be divided in two parts, 12075 and 28680, that added together give a triangular number (40755 = T₂₈₅).

The spelling of 1207528680 in words is "one billion, two hundred seven million, five hundred twenty-eight thousand, six hundred eighty".