86792800 has 144 divisors (see below), whose sum is σ = 227797920. Its totient is φ = 32215040.

The previous prime is 86792767. The next prime is 86792807. The reversal of 86792800 is 829768.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86792807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975156 + ... + 975244.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 2^86792800 is an apocalyptic number.

86792800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113898960).

86792800 is an abundant number, since it is smaller than the sum of its proper divisors (141005120).

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

86792800 is a wasteful number, since it uses less digits than its factorization.

86792800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 86792800 is about 9316.2653461567. The cubic root of 86792800 is about 442.7527150830.

The spelling of 86792800 in words is "eighty-six million, seven hundred ninety-two thousand, eight hundred".