77395956 has 72 divisors (see below), whose sum is σ = 200380992. Its totient is φ = 23232000.

The previous prime is 77395939. The next prime is 77395957. The reversal of 77395956 is 65959377.

It is a junction number, because it is equal to n+sod(n) for n = 77395899 and 77395908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77395957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219076 + ... + 219428.

Almost surely, 2^77395956 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 77395956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100190496).

77395956 is an abundant number, since it is smaller than the sum of its proper divisors (122985036).

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

77395956 is a wasteful number, since it uses less digits than its factorization.

77395956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

The product of its digits is 1786050, while the sum is 51.

The square root of 77395956 is about 8797.4971440746. The cubic root of 77395956 is about 426.1600712123.

It can be divided in two parts, 7739 and 5956, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 77395956 in words is "seventy-seven million, three hundred ninety-five thousand, nine hundred fifty-six".