76772988 has 96 divisors (see below), whose sum is σ = 214609920. Its totient is φ = 23664960.

The previous prime is 76772963. The next prime is 76772999. The reversal of 76772988 is 88927767.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76506 + ... + 77502.

It is an arithmetic number, because the mean of its divisors is an integer number (2235520).

Almost surely, 2^76772988 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 76772988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107304960).

76772988 is an abundant number, since it is smaller than the sum of its proper divisors (137836932).

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

76772988 is a wasteful number, since it uses less digits than its factorization.

76772988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 76772988 is about 8762.0196301994. The cubic root of 76772988 is about 425.0135875702.

The spelling of 76772988 in words is "seventy-six million, seven hundred seventy-two thousand, nine hundred eighty-eight".