7607738880 has 480 divisors, whose sum is σ = 30840061824. Its totient is φ = 1696923648.

The previous prime is 7607738863. The next prime is 7607738881. The reversal of 7607738880 is 888377067.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (7607738881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6934492 + ... + 6935588.

Almost surely, 2^7607738880 is an apocalyptic number.

7607738880 is a gapful number since it is divisible by the number (70) 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 7607738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420030912).

7607738880 is an abundant number, since it is smaller than the sum of its proper divisors (23232322944).

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

7607738880 is a wasteful number, since it uses less digits than its factorization.

7607738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 7607738880 is about 87222.3530982741. The cubic root of 7607738880 is about 1966.7622595815.

The spelling of 7607738880 in words is "seven billion, six hundred seven million, seven hundred thirty-eight thousand, eight hundred eighty".