76631772 has 48 divisors (see below), whose sum is σ = 205873920. Its totient is φ = 21731712.

The previous prime is 76631771. The next prime is 76631803. The reversal of 76631772 is 27713667.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 76631772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76631771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8179 + ... + 14837.

It is an arithmetic number, because the mean of its divisors is an integer number (4289040).

Almost surely, 2^76631772 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 76631772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102936960).

76631772 is an abundant number, since it is smaller than the sum of its proper divisors (129242148).

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

76631772 is a wasteful number, since it uses less digits than its factorization.

76631772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810 (or 6808 counting only the distinct ones).

The product of its digits is 74088, while the sum is 39.

The square root of 76631772 is about 8753.9575050374. The cubic root of 76631772 is about 424.7528380652.

The spelling of 76631772 in words is "seventy-six million, six hundred thirty-one thousand, seven hundred seventy-two".