76458856320 has 1536 divisors, whose sum is σ = 349015080960. Its totient is φ = 14963097600.

The previous prime is 76458856303. The next prime is 76458856333. The reversal of 76458856320 is 2365885467.

76458856320 is a `hidden beast` number, since 7 + 6 + 4 + 58 + 8 + 563 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 921190999 + ... + 921191081.

It is an arithmetic number, because the mean of its divisors is an integer number (227223360).

Almost surely, 2^76458856320 is an apocalyptic number.

76458856320 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 76458856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174507540480).

76458856320 is an abundant number, since it is smaller than the sum of its proper divisors (272556224640).

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

76458856320 is a wasteful number, since it uses less digits than its factorization.

76458856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 76458856320 in words is "seventy-six billion, four hundred fifty-eight million, eight hundred fifty-six thousand, three hundred twenty".