77085120 has 112 divisors (see below), whose sum is σ = 279733248. Its totient is φ = 17617920.

The previous prime is 77085067. The next prime is 77085131. The reversal of 77085120 is 2158077.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 985 + ... + 12455.

Almost surely, 2^77085120 is an apocalyptic number.

77085120 is a gapful number since it is divisible by the number (70) 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 77085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139866624).

77085120 is an abundant number, since it is smaller than the sum of its proper divisors (202648128).

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

77085120 is a wasteful number, since it uses less digits than its factorization.

77085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11498 (or 11488 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 77085120 is about 8779.8132098582. The cubic root of 77085120 is about 425.5887940593.

The spelling of 77085120 in words is "seventy-seven million, eighty-five thousand, one hundred twenty".