85807920 has 80 divisors (see below), whose sum is σ = 290195712. Its totient is φ = 20801280.

The previous prime is 85807913. The next prime is 85807979. The reversal of 85807920 is 2970858.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13612 + ... + 18891.

Almost surely, 2^85807920 is an apocalyptic number.

85807920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85807920 is an abundant number, since it is smaller than the sum of its proper divisors (204387792).

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

85807920 is a wasteful number, since it uses less digits than its factorization.

85807920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32530 (or 32524 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 85807920 is about 9263.2564468442. The cubic root of 85807920 is about 441.0716303246.

The spelling of 85807920 in words is "eighty-five million, eight hundred seven thousand, nine hundred twenty".