76320921600 has 1440 divisors, whose sum is σ = 353902348800. Its totient is φ = 15792537600.

The previous prime is 76320921583. The next prime is 76320921629. The reversal of 76320921600 is 612902367.

76320921600 is a `hidden beast` number, since 7 + 6 + 3 + 20 + 9 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×76320921600³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 319334281 + ... + 319334519.

It is an arithmetic number, because the mean of its divisors is an integer number (245765520).

Almost surely, 2^76320921600 is an apocalyptic number.

76320921600 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 76320921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176951174400).

76320921600 is an abundant number, since it is smaller than the sum of its proper divisors (277581427200).

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

76320921600 is a wasteful number, since it uses less digits than its factorization.

76320921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 76320921600 in words is "seventy-six billion, three hundred twenty million, nine hundred twenty-one thousand, six hundred".