772728320 has 320 divisors, whose sum is σ = 2375847936. Its totient is φ = 234455040.

The previous prime is 772728301. The next prime is 772728323. The reversal of 772728320 is 23827277.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772728323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7221707 + ... + 7221813.

Almost surely, 2^772728320 is an apocalyptic number.

772728320 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 772728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187923968).

772728320 is an abundant number, since it is smaller than the sum of its proper divisors (1603119616).

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

772728320 is a wasteful number, since it uses less digits than its factorization.

772728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 38.

The square root of 772728320 is about 27797.9912943364. The cubic root of 772728320 is about 917.6469167085.

The spelling of 772728320 in words is "seven hundred seventy-two million, seven hundred twenty-eight thousand, three hundred twenty".