77544896 has 112 divisors (see below), whose sum is σ = 186476640. Its totient is φ = 31518720.

The previous prime is 77544893. The next prime is 77544911. The reversal of 77544896 is 69844577.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77544893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338510 + ... + 338738.

It is an arithmetic number, because the mean of its divisors is an integer number (1664970).

Almost surely, 2^77544896 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 77544896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93238320).

77544896 is an abundant number, since it is smaller than the sum of its proper divisors (108931744).

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

77544896 is a wasteful number, since it uses less digits than its factorization.

77544896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 50.

The square root of 77544896 is about 8805.9579830930. The cubic root of 77544896 is about 426.4332620981.

The spelling of 77544896 in words is "seventy-seven million, five hundred forty-four thousand, eight hundred ninety-six".