77065344 has 80 divisors (see below), whose sum is σ = 229376070. Its totient is φ = 25684992.

The previous prime is 77065319. The next prime is 77065361. The reversal of 77065344 is 44356077.

It can be written as a sum of positive squares in only one way, i.e., 75898944 + 1166400 = 8712^2 + 1080^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 77065299 and 77065308.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6652 + ... + 14084.

Almost surely, 2^77065344 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 77065344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114688035).

77065344 is an abundant number, since it is smaller than the sum of its proper divisors (152310726).

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

77065344 is an equidigital number, since it uses as much as digits as its factorization.

77065344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7459 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 77065344 is about 8778.6869177571. The cubic root of 77065344 is about 425.5523963566.

The spelling of 77065344 in words is "seventy-seven million, sixty-five thousand, three hundred forty-four".