76404625920 has 960 divisors, whose sum is σ = 334527874560. Its totient is φ = 16424239104.

The previous prime is 76404625909. The next prime is 76404625931. The reversal of 76404625920 is 2952640467.

It is an interprime number because it is at equal distance from previous prime (76404625909) and next prime (76404625931).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57576297 + ... + 57577623.

It is an arithmetic number, because the mean of its divisors is an integer number (348466536).

Almost surely, 2^76404625920 is an apocalyptic number.

76404625920 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 76404625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167263937280).

76404625920 is an abundant number, since it is smaller than the sum of its proper divisors (258123248640).

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

76404625920 is a wasteful number, since it uses less digits than its factorization.

76404625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 76404625920 in words is "seventy-six billion, four hundred four million, six hundred twenty-five thousand, nine hundred twenty".