77611952 has 40 divisors (see below), whose sum is σ = 165056400. Its totient is φ = 35060480.

The previous prime is 77611951. The next prime is 77611967. The reversal of 77611952 is 25911677.

It is not an unprimeable number, because it can be changed into a prime (77611951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29174 + ... + 31722.

It is an arithmetic number, because the mean of its divisors is an integer number (4126410).

Almost surely, 2^77611952 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 77611952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82528200).

77611952 is an abundant number, since it is smaller than the sum of its proper divisors (87444448).

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

77611952 is a wasteful number, since it uses less digits than its factorization.

77611952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2735 counting only the distinct ones).

The product of its digits is 26460, while the sum is 38.

The square root of 77611952 is about 8809.7645825527. The cubic root of 77611952 is about 426.5561443332.

The spelling of 77611952 in words is "seventy-seven million, six hundred eleven thousand, nine hundred fifty-two".