77682900 has 72 divisors (see below), whose sum is σ = 232040704. Its totient is φ = 20044800.

The previous prime is 77682853. The next prime is 77682901. The reversal of 77682900 is 928677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77682901) by changing a digit.

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, 5124 + ... + 13476.

Almost surely, 2^77682900 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 77682900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116020352).

77682900 is an abundant number, since it is smaller than the sum of its proper divisors (154357804).

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

77682900 is a wasteful number, since it uses less digits than its factorization.

77682900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8401 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 77682900 is about 8813.7903310664. The cubic root of 77682900 is about 426.6860817446.

The spelling of 77682900 in words is "seventy-seven million, six hundred eighty-two thousand, nine hundred".