77965952 has 64 divisors (see below), whose sum is σ = 164799360. Its totient is φ = 36664320.

The previous prime is 77965933. The next prime is 77965973. The reversal of 77965952 is 25956977.

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

It is a super-3 number, since 3×77965952³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77965952.

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, 208838 + ... + 209210.

It is an arithmetic number, because the mean of its divisors is an integer number (2574990).

Almost surely, 2^77965952 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 77965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82399680).

77965952 is an abundant number, since it is smaller than the sum of its proper divisors (86833408).

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

77965952 is a wasteful number, since it uses less digits than its factorization.

77965952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 469 counting only the distinct ones).

The product of its digits is 1190700, while the sum is 50.

The square root of 77965952 is about 8829.8330675047. The cubic root of 77965952 is about 427.2036901120.

The spelling of 77965952 in words is "seventy-seven million, nine hundred sixty-five thousand, nine hundred fifty-two".