76082872320 has 1344 divisors, whose sum is σ = 342963266940. Its totient is φ = 16052649984.

The previous prime is 76082872303. The next prime is 76082872387. The reversal of 76082872320 is 2327828067.

76082872320 is a `hidden beast` number, since 7 + 608 + 2 + 8 + 7 + 2 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70815596544 + 5267275776 = 266112^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×76082872320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5852528634 + ... + 5852528646.

Almost surely, 2^76082872320 is an apocalyptic number.

76082872320 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 76082872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171481633470).

76082872320 is an abundant number, since it is smaller than the sum of its proper divisors (266880394620).

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

76082872320 is an frugal number, since it uses more digits than its factorization.

76082872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 76082872320 in words is "seventy-six billion, eighty-two million, eight hundred seventy-two thousand, three hundred twenty".