10077508760 has 64 divisors (see below), whose sum is σ = 25262046720. Its totient is φ = 3586572160.

The previous prime is 10077508751. The next prime is 10077508813. The reversal of 10077508760 is 6780577001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222974 + ... + 264333.

It is an arithmetic number, because the mean of its divisors is an integer number (394719480).

Almost surely, 2^10077508760 is an apocalyptic number.

10077508760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10077508760 is an abundant number, since it is smaller than the sum of its proper divisors (15184537960).

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

10077508760 is a wasteful number, since it uses less digits than its factorization.

10077508760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487376 (or 487372 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 41.

The spelling of 10077508760 in words is "ten billion, seventy-seven million, five hundred eight thousand, seven hundred sixty".