77177952 has 72 divisors (see below), whose sum is σ = 222014520. Its totient is φ = 25428480.

The previous prime is 77177939. The next prime is 77177963. The reversal of 77177952 is 25977177.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 77177898 and 77177907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24127 + ... + 27137.

It is an arithmetic number, because the mean of its divisors is an integer number (3083535).

Almost surely, 2^77177952 is an apocalyptic number.

77177952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77177952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111007260).

77177952 is an abundant number, since it is smaller than the sum of its proper divisors (144836568).

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

77177952 is a wasteful number, since it uses less digits than its factorization.

77177952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3105 counting only the distinct ones).

The product of its digits is 216090, while the sum is 45.

The square root of 77177952 is about 8785.0982919942. The cubic root of 77177952 is about 425.7595680896.

The spelling of 77177952 in words is "seventy-seven million, one hundred seventy-seven thousand, nine hundred fifty-two".