77023296 has 126 divisors (see below), whose sum is σ = 256912110. Its totient is φ = 21998592.

The previous prime is 77023279. The next prime is 77023301. The reversal of 77023296 is 69232077.

It can be written as a sum of positive squares in only one way, i.e., 76317696 + 705600 = 8736^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 77023296.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26860 + ... + 29588.

It is an arithmetic number, because the mean of its divisors is an integer number (2038985).

Almost surely, 2^77023296 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 77023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128456055).

77023296 is an abundant number, since it is smaller than the sum of its proper divisors (179888814).

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

77023296 is a wasteful number, since it uses less digits than its factorization.

77023296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 77023296 is about 8776.2916998012. The cubic root of 77023296 is about 425.4749863667.

The spelling of 77023296 in words is "seventy-seven million, twenty-three thousand, two hundred ninety-six".