77264096 has 96 divisors (see below), whose sum is σ = 189524160. Its totient is φ = 30371328.

The previous prime is 77264081. The next prime is 77264101. The reversal of 77264096 is 69046277.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492050 + ... + 492206.

It is an arithmetic number, because the mean of its divisors is an integer number (1974210).

Almost surely, 2^77264096 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 77264096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94762080).

77264096 is an abundant number, since it is smaller than the sum of its proper divisors (112260064).

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

77264096 is a wasteful number, since it uses less digits than its factorization.

77264096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 77264096 is about 8789.9997724687. Note that the first 3 decimals coincide. The cubic root of 77264096 is about 425.9179163999.

The spelling of 77264096 in words is "seventy-seven million, two hundred sixty-four thousand, ninety-six".