77251296 has 96 divisors (see below), whose sum is σ = 215550720. Its totient is φ = 24172544.

The previous prime is 77251289. The next prime is 77251297. The reversal of 77251296 is 69215277.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77251297) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 129976 + ... + 130568.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 2^77251296 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 77251296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107775360).

77251296 is an abundant number, since it is smaller than the sum of its proper divisors (138299424).

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

77251296 is a wasteful number, since it uses less digits than its factorization.

77251296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 77251296 is about 8789.2716421783. The cubic root of 77251296 is about 425.8943951237.

The spelling of 77251296 in words is "seventy-seven million, two hundred fifty-one thousand, two hundred ninety-six".