772590720 has 256 divisors, whose sum is σ = 2715223680. Its totient is φ = 185303040.

The previous prime is 772590703. The next prime is 772590727. The reversal of 772590720 is 27095277.

It is not an unprimeable number, because it can be changed into a prime (772590727) 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 31 ways as a sum of consecutive naturals, for example, 3315724 + ... + 3315956.

Almost surely, 2^772590720 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 772590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357611840).

772590720 is an abundant number, since it is smaller than the sum of its proper divisors (1942632960).

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

772590720 is a wasteful number, since it uses less digits than its factorization.

772590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 772590720 is about 27795.5161851691. The cubic root of 772590720 is about 917.5924449069.

The spelling of 772590720 in words is "seven hundred seventy-two million, five hundred ninety thousand, seven hundred twenty".