85877120 has 128 divisors (see below), whose sum is σ = 243086400. Its totient is φ = 28385280.

The previous prime is 85877117. The next prime is 85877137. The reversal of 85877120 is 2177858.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 129590 + ... + 130250.

Almost surely, 2^85877120 is an apocalyptic number.

85877120 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 85877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121543200).

85877120 is an abundant number, since it is smaller than the sum of its proper divisors (157209280).

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

85877120 is a wasteful number, since it uses less digits than its factorization.

85877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 85877120 is about 9266.9908816185. The cubic root of 85877120 is about 441.1901662188.

The spelling of 85877120 in words is "eighty-five million, eight hundred seventy-seven thousand, one hundred twenty".