77082512 has 40 divisors (see below), whose sum is σ = 162906240. Its totient is φ = 35118720.

The previous prime is 77082469. The next prime is 77082517. The reversal of 77082512 is 21528077.

It is not an unprimeable number, because it can be changed into a prime (77082517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14087 + ... + 18777.

It is an arithmetic number, because the mean of its divisors is an integer number (4072656).

Almost surely, 2^77082512 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 77082512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81453120).

77082512 is an abundant number, since it is smaller than the sum of its proper divisors (85823728).

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

77082512 is a wasteful number, since it uses less digits than its factorization.

77082512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 77082512 is about 8779.6646860800. The cubic root of 77082512 is about 425.5839943950.

The spelling of 77082512 in words is "seventy-seven million, eighty-two thousand, five hundred twelve".