85702400 has 108 divisors (see below), whose sum is σ = 242557392. Its totient is φ = 29368320.

The previous prime is 85702381. The next prime is 85702403. The reversal of 85702400 is 420758.

85702400 = 126² + 127² + ... + 637².

It is a self number, because there is not a number n which added to its sum of digits gives 85702400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85702403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43844 + ... + 45756.

Almost surely, 2^85702400 is an apocalyptic number.

85702400 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 85702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121278696).

85702400 is an abundant number, since it is smaller than the sum of its proper divisors (156854992).

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

85702400 is a wasteful number, since it uses less digits than its factorization.

85702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 85702400 is about 9257.5590735355. The cubic root of 85702400 is about 440.8907574737.

The spelling of 85702400 in words is "eighty-five million, seven hundred two thousand, four hundred".