77536496 has 40 divisors (see below), whose sum is σ = 158278560. Its totient is φ = 36723456.

The previous prime is 77536493. The next prime is 77536499. The reversal of 77536496 is 69463577.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77536493) and next prime (77536499).

It is a self number, because there is not a number n which added to its sum of digits gives 77536496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77536493) 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, 39146 + ... + 41078.

It is an arithmetic number, because the mean of its divisors is an integer number (3956964).

Almost surely, 2^77536496 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 77536496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79139280).

77536496 is an abundant number, since it is smaller than the sum of its proper divisors (80742064).

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

77536496 is a wasteful number, since it uses less digits than its factorization.

77536496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2067 counting only the distinct ones).

The product of its digits is 952560, while the sum is 47.

The square root of 77536496 is about 8805.4810203645. The cubic root of 77536496 is about 426.4178638410.

The spelling of 77536496 in words is "seventy-seven million, five hundred thirty-six thousand, four hundred ninety-six".