76977252 has 72 divisors (see below), whose sum is σ = 219623040. Its totient is φ = 22518720.

The previous prime is 76977221. The next prime is 76977269. The reversal of 76977252 is 25277967.

It is a junction number, because it is equal to n+sod(n) for n = 76977198 and 76977207.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 8133 + ... + 14835.

It is an arithmetic number, because the mean of its divisors is an integer number (3050320).

Almost surely, 2^76977252 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 76977252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109811520).

76977252 is an abundant number, since it is smaller than the sum of its proper divisors (142645788).

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

76977252 is a wasteful number, since it uses less digits than its factorization.

76977252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6748 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 76977252 is about 8773.6681040486. The cubic root of 76977252 is about 425.3901874540.

The spelling of 76977252 in words is "seventy-six million, nine hundred seventy-seven thousand, two hundred fifty-two".