86377800 has 96 divisors (see below), whose sum is σ = 281901600. Its totient is φ = 21818880.

The previous prime is 86377787. The next prime is 86377801. The reversal of 86377800 is 877368.

It is a super-2 number, since 2×86377800² = 14922248665680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86377801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7612 + ... + 15188.

It is an arithmetic number, because the mean of its divisors is an integer number (2936475).

Almost surely, 2^86377800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86377800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140950800).

86377800 is an abundant number, since it is smaller than the sum of its proper divisors (195523800).

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

86377800 is a wasteful number, since it uses less digits than its factorization.

86377800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 86377800 is about 9293.9657843140. The cubic root of 86377800 is about 442.0459129364.

The spelling of 86377800 in words is "eighty-six million, three hundred seventy-seven thousand, eight hundred".