772788720 has 320 divisors, whose sum is σ = 2819390976. Its totient is φ = 173015040.

The previous prime is 772788719. The next prime is 772788743. The reversal of 772788720 is 27887277.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 772788720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3006832 + ... + 3007088.

Almost surely, 2^772788720 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 772788720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409695488).

772788720 is an abundant number, since it is smaller than the sum of its proper divisors (2046602256).

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

772788720 is a wasteful number, since it uses less digits than its factorization.

772788720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 614656, while the sum is 48.

The square root of 772788720 is about 27799.0776825419. The cubic root of 772788720 is about 917.6708252537.

It can be divided in two parts, 7 and 72788720, that added together give a palindrome (72788727).

The spelling of 772788720 in words is "seven hundred seventy-two million, seven hundred eighty-eight thousand, seven hundred twenty".