82672380 has 96 divisors (see below), whose sum is σ = 293959680. Its totient is φ = 18895680.

The previous prime is 82672357. The next prime is 82672391. The reversal of 82672380 is 8327628.

82672380 = 970² + 971² + ... + 1050².

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 7156 + ... + 14715.

It is an arithmetic number, because the mean of its divisors is an integer number (3062080).

Almost surely, 2^82672380 is an apocalyptic number.

It is an amenable number.

82672380 is an abundant number, since it is smaller than the sum of its proper divisors (211287300).

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

82672380 is a wasteful number, since it uses less digits than its factorization.

82672380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21896 (or 21888 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 82672380 is about 9092.4353173394. The cubic root of 82672380 is about 435.6323739495.

The spelling of 82672380 in words is "eighty-two million, six hundred seventy-two thousand, three hundred eighty".