77285312 has 56 divisors (see below), whose sum is σ = 173888400. Its totient is φ = 33785856.

The previous prime is 77285303. The next prime is 77285347. The reversal of 77285312 is 21358277.

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, 13364 + ... + 18252.

It is an arithmetic number, because the mean of its divisors is an integer number (3105150).

Almost surely, 2^77285312 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 77285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86944200).

77285312 is an abundant number, since it is smaller than the sum of its proper divisors (96603088).

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

77285312 is a wasteful number, since it uses less digits than its factorization.

77285312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4923 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 77285312 is about 8791.2065156041. The cubic root of 77285312 is about 425.9568971944.

The spelling of 77285312 in words is "seventy-seven million, two hundred eighty-five thousand, three hundred twelve".