82807872 has 56 divisors (see below), whose sum is σ = 250399296. Its totient is φ = 23659008.

The previous prime is 82807861. The next prime is 82807877. The reversal of 82807872 is 27870828.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (82807877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29463 + ... + 32150.

It is an arithmetic number, because the mean of its divisors is an integer number (4471416).

Almost surely, 2^82807872 is an apocalyptic number.

It is an amenable number.

82807872 is an abundant number, since it is smaller than the sum of its proper divisors (167591424).

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

82807872 is a wasteful number, since it uses less digits than its factorization.

82807872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61635 (or 61625 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 82807872 is about 9099.8830761719. The cubic root of 82807872 is about 435.8702304367.

The spelling of 82807872 in words is "eighty-two million, eight hundred seven thousand, eight hundred seventy-two".