77305896 has 48 divisors (see below), whose sum is σ = 211547700. Its totient is φ = 25500672.

The previous prime is 77305859. The next prime is 77305901. The reversal of 77305896 is 69850377.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72080100 + 5225796 = 8490^2 + 2286^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1450 + ... + 12518.

Almost surely, 2^77305896 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 77305896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105773850).

77305896 is an abundant number, since it is smaller than the sum of its proper divisors (134241804).

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

77305896 is a wasteful number, since it uses less digits than its factorization.

77305896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 77305896 is about 8792.3771529661. The cubic root of 77305896 is about 425.9947099786.

The spelling of 77305896 in words is "seventy-seven million, three hundred five thousand, eight hundred ninety-six".