86377792 has 28 divisors (see below), whose sum is σ = 171701460. Its totient is φ = 43114496.

The previous prime is 86377787. The next prime is 86377801. The reversal of 86377792 is 29777368.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 74926336 = 3384^2 + 8656^2 .

It is a super-2 number, since 2×86377792² = 14922245901590528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70368 + ... + 71584.

It is an arithmetic number, because the mean of its divisors is an integer number (6132195).

Almost surely, 2^86377792 is an apocalyptic number.

It is an amenable number.

86377792 is a deficient number, since it is larger than the sum of its proper divisors (85323668).

86377792 is a wasteful number, since it uses less digits than its factorization.

86377792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2328 counting only the distinct ones).

The product of its digits is 889056, while the sum is 49.

The square root of 86377792 is about 9293.9653539272. The cubic root of 86377792 is about 442.0458992895.

The spelling of 86377792 in words is "eighty-six million, three hundred seventy-seven thousand, seven hundred ninety-two".