76907020344 has 512 divisors, whose sum is σ = 256396492800. Its totient is φ = 18643968000.

The previous prime is 76907020327. The next prime is 76907020357. The reversal of 76907020344 is 44302070967.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 76907020296 and 76907020305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 321786577 + ... + 321786815.

It is an arithmetic number, because the mean of its divisors is an integer number (500774400).

Almost surely, 2^76907020344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76907020344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128198246400).

76907020344 is an abundant number, since it is smaller than the sum of its proper divisors (179489472456).

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

76907020344 is a wasteful number, since it uses less digits than its factorization.

76907020344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 76907020344 in words is "seventy-six billion, nine hundred seven million, twenty thousand, three hundred forty-four".