76882320 has 60 divisors (see below), whose sum is σ = 258198876. Its totient is φ = 20501760.

The previous prime is 76882301. The next prime is 76882331. The reversal of 76882320 is 2328867.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 22240656 = 7392^2 + 4716^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×76882320² = 11821782257164800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52671 + ... + 54110.

Almost surely, 2^76882320 is an apocalyptic number.

It is an amenable number.

76882320 is an abundant number, since it is smaller than the sum of its proper divisors (181316556).

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

76882320 is a wasteful number, since it uses less digits than its factorization.

76882320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106800 (or 106791 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 76882320 is about 8768.2563831129. The cubic root of 76882320 is about 425.2152450634.

The spelling of 76882320 in words is "seventy-six million, eight hundred eighty-two thousand, three hundred twenty".