772574400 has 252 divisors, whose sum is σ = 2957852352. Its totient is φ = 190126080.

The previous prime is 772574353. The next prime is 772574443. The reversal of 772574400 is 4475277.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 185137 + ... + 189263.

Almost surely, 2^772574400 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 772574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478926176).

772574400 is an abundant number, since it is smaller than the sum of its proper divisors (2185277952).

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

772574400 is a wasteful number, since it uses less digits than its factorization.

772574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 772574400 is about 27795.2226110891. Note that the first 3 decimals coincide. The cubic root of 772574400 is about 917.5859838688.

The spelling of 772574400 in words is "seven hundred seventy-two million, five hundred seventy-four thousand, four hundred".