77764512 has 96 divisors (see below), whose sum is σ = 235896192. Its totient is φ = 21970944.

The previous prime is 77764499. The next prime is 77764517. The reversal of 77764512 is 21546777.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (77764517) 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 15 ways as a sum of consecutive naturals, for example, 64588 + ... + 65780.

It is an arithmetic number, because the mean of its divisors is an integer number (2457252).

Almost surely, 2^77764512 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 77764512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117948096).

77764512 is an abundant number, since it is smaller than the sum of its proper divisors (158131680).

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

77764512 is a wasteful number, since it uses less digits than its factorization.

77764512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1302 counting only the distinct ones).

The product of its digits is 82320, while the sum is 39.

The square root of 77764512 is about 8818.4189059037. The cubic root of 77764512 is about 426.8354518846.

The spelling of 77764512 in words is "seventy-seven million, seven hundred sixty-four thousand, five hundred twelve".