772898256 has 240 divisors, whose sum is σ = 2518588800. Its totient is φ = 219276288.

The previous prime is 772898249. The next prime is 772898263. The reversal of 772898256 is 652898277.

It is a happy number.

772898256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (772898249) and next prime (772898263).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248315 + ... + 1248933.

It is an arithmetic number, because the mean of its divisors is an integer number (10494120).

Almost surely, 2^772898256 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 772898256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259294400).

772898256 is an abundant number, since it is smaller than the sum of its proper divisors (1745690544).

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

772898256 is a wasteful number, since it uses less digits than its factorization.

772898256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 689 counting only the distinct ones).

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

The square root of 772898256 is about 27801.0477500399. The cubic root of 772898256 is about 917.7141804598.

The spelling of 772898256 in words is "seven hundred seventy-two million, eight hundred ninety-eight thousand, two hundred fifty-six".