77264320 has 112 divisors (see below), whose sum is σ = 222747840. Its totient is φ = 24920064.

The previous prime is 77264311. The next prime is 77264329. The reversal of 77264320 is 2346277.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77264311) and next prime (77264329).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77264329) by changing a digit.

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, 37066 + ... + 39094.

It is an arithmetic number, because the mean of its divisors is an integer number (1988820).

Almost surely, 2^77264320 is an apocalyptic number.

77264320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111373920).

77264320 is an abundant number, since it is smaller than the sum of its proper divisors (145483520).

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

77264320 is a wasteful number, since it uses less digits than its factorization.

77264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 77264320 is about 8790.0125142118. The cubic root of 77264320 is about 425.9183279991.

The spelling of 77264320 in words is "seventy-seven million, two hundred sixty-four thousand, three hundred twenty".