772004400 has 120 divisors (see below), whose sum is σ = 2479841280. Its totient is φ = 205297920.

The previous prime is 772004399. The next prime is 772004411. The reversal of 772004400 is 4400277.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602961 + ... + 604239.

It is an arithmetic number, because the mean of its divisors is an integer number (20665344).

Almost surely, 2^772004400 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 772004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239920640).

772004400 is an abundant number, since it is smaller than the sum of its proper divisors (1707836880).

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

772004400 is a wasteful number, since it uses less digits than its factorization.

772004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 772004400 is about 27784.9671585194. The cubic root of 772004400 is about 917.3602655038.

Adding to 772004400 its reverse (4400277), we get a palindrome (776404677).

The spelling of 772004400 in words is "seven hundred seventy-two million, four thousand, four hundred".