772289856 has 224 divisors, whose sum is σ = 2526182400. Its totient is φ = 229754880.

The previous prime is 772289813. The next prime is 772289857. The reversal of 772289856 is 658982277.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772289857) 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, 695830 + ... + 696938.

It is an arithmetic number, because the mean of its divisors is an integer number (11277600).

Almost surely, 2^772289856 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 772289856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263091200).

772289856 is an abundant number, since it is smaller than the sum of its proper divisors (1753892544).

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

772289856 is a wasteful number, since it uses less digits than its factorization.

772289856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1158 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 772289856 is about 27790.1035622396. The cubic root of 772289856 is about 917.4733191438.

The spelling of 772289856 in words is "seven hundred seventy-two million, two hundred eighty-nine thousand, eight hundred fifty-six".