85777840 has 40 divisors (see below), whose sum is σ = 204830640. Its totient is φ = 33382656.

The previous prime is 85777807. The next prime is 85777907. The reversal of 85777840 is 4877758.

It is a tau number, because it is divible by the number of its divisors (40).

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, 11530 + ... + 17449.

It is an arithmetic number, because the mean of its divisors is an integer number (5120766).

Almost surely, 2^85777840 is an apocalyptic number.

85777840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85777840 is an abundant number, since it is smaller than the sum of its proper divisors (119052800).

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

85777840 is a wasteful number, since it uses less digits than its factorization.

85777840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29029 (or 29023 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 46.

The square root of 85777840 is about 9261.6326854394. The cubic root of 85777840 is about 441.0200850234.

The spelling of 85777840 in words is "eighty-five million, seven hundred seventy-seven thousand, eight hundred forty".