82978200 has 72 divisors (see below), whose sum is σ = 278674500. Its totient is φ = 22127040.

The previous prime is 82978163. The next prime is 82978201. The reversal of 82978200 is 287928.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82978201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21250 + ... + 24849.

Almost surely, 2^82978200 is an apocalyptic number.

It is an amenable number.

82978200 is an abundant number, since it is smaller than the sum of its proper divisors (195696300).

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

82978200 is a wasteful number, since it uses less digits than its factorization.

82978200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46121 (or 46109 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 82978200 is about 9109.2370701393. The cubic root of 82978200 is about 436.1688737851.

The spelling of 82978200 in words is "eighty-two million, nine hundred seventy-eight thousand, two hundred".