76387096576 has 384 divisors, whose sum is σ = 195302016000. Its totient is φ = 29118431232.

The previous prime is 76387096571. The next prime is 76387096651. The reversal of 76387096576 is 67569078367.

It is a super-2 number, since 2×76387096576² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76387096571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557569980 + ... + 557570116.

It is an arithmetic number, because the mean of its divisors is an integer number (508599000).

Almost surely, 2^76387096576 is an apocalyptic number.

76387096576 is a gapful number since it is divisible by the number (76) 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 76387096576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97651008000).

76387096576 is an abundant number, since it is smaller than the sum of its proper divisors (118914919424).

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

76387096576 is a wasteful number, since it uses less digits than its factorization.

76387096576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 64.

The spelling of 76387096576 in words is "seventy-six billion, three hundred eighty-seven million, ninety-six thousand, five hundred seventy-six".