77085312 has 64 divisors (see below), whose sum is σ = 205999200. Its totient is φ = 25539584.

The previous prime is 77085301. The next prime is 77085347. The reversal of 77085312 is 21358077.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×77085312² = 11884290652274688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 75139 + ... + 76157.

Almost surely, 2^77085312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102999600).

77085312 is an abundant number, since it is smaller than the sum of its proper divisors (128913888).

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

77085312 is a wasteful number, since it uses less digits than its factorization.

77085312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 77085312 is about 8779.8241440248. The cubic root of 77085312 is about 425.5891474045.

The spelling of 77085312 in words is "seventy-seven million, eighty-five thousand, three hundred twelve".