772245760 has 144 divisors (see below), whose sum is σ = 2173671360. Its totient is φ = 259153920.

The previous prime is 772245751. The next prime is 772245781. The reversal of 772245760 is 67542277.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180931 + ... + 185149.

It is an arithmetic number, because the mean of its divisors is an integer number (15094940).

Almost surely, 2^772245760 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 772245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086835680).

772245760 is an abundant number, since it is smaller than the sum of its proper divisors (1401425600).

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

772245760 is a wasteful number, since it uses less digits than its factorization.

772245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The square root of 772245760 is about 27789.3101749576. The cubic root of 772245760 is about 917.4558569293.

The spelling of 772245760 in words is "seven hundred seventy-two million, two hundred forty-five thousand, seven hundred sixty".