82977400 has 48 divisors (see below), whose sum is σ = 210466440. Its totient is φ = 30172800.

The previous prime is 82977379. The next prime is 82977403. The reversal of 82977400 is 477928.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82977400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82977403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16659 + ... + 21058.

Almost surely, 2^82977400 is an apocalyptic number.

It is an amenable number.

82977400 is an abundant number, since it is smaller than the sum of its proper divisors (127489040).

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

82977400 is a wasteful number, since it uses less digits than its factorization.

82977400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37744 (or 37735 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 82977400 is about 9109.1931585624. The cubic root of 82977400 is about 436.1674720667.

The spelling of 82977400 in words is "eighty-two million, nine hundred seventy-seven thousand, four hundred".