82278792 has 36 divisors (see below), whose sum is σ = 223047045. Its totient is φ = 27400608.

The previous prime is 82278733. The next prime is 82278821. The reversal of 82278792 is 29787228.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 82192356 + 86436 = 9066^2 + 294^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6414.

It is a super-2 number, since 2×82278792² = 13539599225958528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76434 + ... + 77502.

Almost surely, 2^82278792 is an apocalyptic number.

It is an amenable number.

82278792 is an abundant number, since it is smaller than the sum of its proper divisors (140768253).

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

82278792 is a wasteful number, since it uses less digits than its factorization.

82278792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 1074 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 82278792 is about 9070.7657890610. The cubic root of 82278792 is about 434.9399520759.

Multiplying 82278792 by its product of digits (225792), we get a square (18577893003264 = 4310208²).

The spelling of 82278792 in words is "eighty-two million, two hundred seventy-eight thousand, seven hundred ninety-two".