86720400 has 360 divisors, whose sum is σ = 346305960. Its totient is φ = 19906560.

The previous prime is 86720393. The next prime is 86720407. The reversal of 86720400 is 402768.

It is an interprime number because it is at equal distance from previous prime (86720393) and next prime (86720407).

It can be written as a sum of positive squares in 12 ways, for example, as 18558864 + 68161536 = 4308^2 + 8256^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (86720407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795546 + ... + 795654.

It is an arithmetic number, because the mean of its divisors is an integer number (961961).

Almost surely, 2^86720400 is an apocalyptic number.

86720400 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 86720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173152980).

86720400 is an abundant number, since it is smaller than the sum of its proper divisors (259585560).

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

86720400 is a wasteful number, since it uses less digits than its factorization.

86720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 86720400 is about 9312.3788582725. The cubic root of 86720400 is about 442.6295704063.

The spelling of 86720400 in words is "eighty-six million, seven hundred twenty thousand, four hundred".