85777720 has 32 divisors (see below), whose sum is σ = 220572000. Its totient is φ = 29409408.

The previous prime is 85777709. The next prime is 85777751. The reversal of 85777720 is 2777758.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152895 + ... + 153454.

It is an arithmetic number, because the mean of its divisors is an integer number (6892875).

Almost surely, 2^85777720 is an apocalyptic number.

It is an amenable number.

85777720 is an abundant number, since it is smaller than the sum of its proper divisors (134794280).

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

85777720 is a wasteful number, since it uses less digits than its factorization.

85777720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306367 (or 306363 counting only the distinct ones).

The product of its (nonzero) digits is 192080, while the sum is 43.

The square root of 85777720 is about 9261.6262070978. The cubic root of 85777720 is about 441.0198793664.

The spelling of 85777720 in words is "eighty-five million, seven hundred seventy-seven thousand, seven hundred twenty".