772398000 has 480 divisors, whose sum is σ = 3041805312. Its totient is φ = 181056000.

The previous prime is 772397987. The next prime is 772398023. The reversal of 772398000 is 893277.

772398000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9305959 + ... + 9306041.

Almost surely, 2^772398000 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 772398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520902656).

772398000 is an abundant number, since it is smaller than the sum of its proper divisors (2269407312).

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

772398000 is a wasteful number, since it uses less digits than its factorization.

772398000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 772398000 is about 27792.0492227543. The cubic root of 772398000 is about 917.5161418410.

The spelling of 772398000 in words is "seven hundred seventy-two million, three hundred ninety-eight thousand".