85376700 has 144 divisors (see below), whose sum is σ = 278037760. Its totient is φ = 22472640.

The previous prime is 85376689. The next prime is 85376701. The reversal of 85376700 is 767358.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85376701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277947 + ... + 278253.

Almost surely, 2^85376700 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 85376700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139018880).

85376700 is an abundant number, since it is smaller than the sum of its proper divisors (192661060).

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

85376700 is a wasteful number, since it uses less digits than its factorization.

85376700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 85376700 is about 9239.9512985730. The cubic root of 85376700 is about 440.3315338777.

The spelling of 85376700 in words is "eighty-five million, three hundred seventy-six thousand, seven hundred".