85402800 has 180 divisors, whose sum is σ = 338810160. Its totient is φ = 19514880.

The previous prime is 85402787. The next prime is 85402813. The reversal of 85402800 is 820458.

It is an interprime number because it is at equal distance from previous prime (85402787) and next prime (85402813).

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 23506 + ... + 26894.

Almost surely, 2^85402800 is an apocalyptic number.

85402800 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 85402800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169405080).

85402800 is an abundant number, since it is smaller than the sum of its proper divisors (253407360).

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

85402800 is a wasteful number, since it uses less digits than its factorization.

85402800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 85402800 is about 9241.3635357560. The cubic root of 85402800 is about 440.3763996787.

The spelling of 85402800 in words is "eighty-five million, four hundred two thousand, eight hundred".