76638820 has 48 divisors (see below), whose sum is σ = 168569856. Its totient is φ = 29232000.

The previous prime is 76638781. The next prime is 76638833. The reversal of 76638820 is 2883667.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43150 + ... + 44890.

It is an arithmetic number, because the mean of its divisors is an integer number (3511872).

Almost surely, 2^76638820 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 76638820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84284928).

76638820 is an abundant number, since it is smaller than the sum of its proper divisors (91931036).

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

76638820 is a wasteful number, since it uses less digits than its factorization.

76638820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 76638820 is about 8754.3600565661. The cubic root of 76638820 is about 424.7658594973.

The spelling of 76638820 in words is "seventy-six million, six hundred thirty-eight thousand, eight hundred twenty".