772492400 has 60 divisors (see below), whose sum is σ = 1866454200. Its totient is φ = 307242240.

The previous prime is 772492397. The next prime is 772492403. The reversal of 772492400 is 4294277.

It is a happy number.

772492400 is digitally balanced in base 6, 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 (772492397) and next prime (772492403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772492403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 66206 + ... + 76994.

It is an arithmetic number, because the mean of its divisors is an integer number (31107570).

Almost surely, 2^772492400 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 772492400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933227100).

772492400 is an abundant number, since it is smaller than the sum of its proper divisors (1093961800).

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

772492400 is a wasteful number, since it uses less digits than its factorization.

772492400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986 (or 10975 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 772492400 is about 27793.7474983134. The cubic root of 772492400 is about 917.5535189425.

The spelling of 772492400 in words is "seven hundred seventy-two million, four hundred ninety-two thousand, four hundred".