76466813280 has 768 divisors, whose sum is σ = 315487872000. Its totient is φ = 15252848640.

The previous prime is 76466813249. The next prime is 76466813303. The reversal of 76466813280 is 8231866467.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22168996 + ... + 22172444.

It is an arithmetic number, because the mean of its divisors is an integer number (410791500).

Almost surely, 2^76466813280 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 76466813280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157743936000).

76466813280 is an abundant number, since it is smaller than the sum of its proper divisors (239021058720).

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

76466813280 is a wasteful number, since it uses less digits than its factorization.

76466813280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 76466813280 in words is "seventy-six billion, four hundred sixty-six million, eight hundred thirteen thousand, two hundred eighty".