772763400 has 144 divisors (see below), whose sum is σ = 2631195060. Its totient is φ = 203212800.

The previous prime is 772763393. The next prime is 772763417. The reversal of 772763400 is 4367277.

772763400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 443776356 + 328987044 = 21066^2 + 18138^2 .

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 35 ways as a sum of consecutive naturals, for example, 128460 + ... + 134340.

Almost surely, 2^772763400 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 772763400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315597530).

772763400 is an abundant number, since it is smaller than the sum of its proper divisors (1858431660).

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

772763400 is a wasteful number, since it uses less digits than its factorization.

772763400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 772763400 is about 27798.6222680190. The cubic root of 772763400 is about 917.6608028165.

The spelling of 772763400 in words is "seven hundred seventy-two million, seven hundred sixty-three thousand, four hundred".