76454031360 has 832 divisors, whose sum is σ = 298933493760. Its totient is φ = 16306667520.

The previous prime is 76454031359. The next prime is 76454031403. The reversal of 76454031360 is 6313045467.

It is a super-2 number, since 2×76454031360² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 583618495 + ... + 583618625.

Almost surely, 2^76454031360 is an apocalyptic number.

76454031360 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 76454031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149466746880).

76454031360 is an abundant number, since it is smaller than the sum of its proper divisors (222479462400).

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

76454031360 is a wasteful number, since it uses less digits than its factorization.

76454031360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 76454031360 in words is "seventy-six billion, four hundred fifty-four million, thirty-one thousand, three hundred sixty".