775824900 has 72 divisors (see below), whose sum is σ = 2265792480. Its totient is φ = 204944640.

The previous prime is 775824893. The next prime is 775824977. The reversal of 775824900 is 9428577.

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, 20016 + ... + 44184.

It is an arithmetic number, because the mean of its divisors is an integer number (31469340).

Almost surely, 2^775824900 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 775824900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132896240).

775824900 is an abundant number, since it is smaller than the sum of its proper divisors (1489967580).

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

775824900 is a wasteful number, since it uses less digits than its factorization.

775824900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24293 (or 24286 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 775824900 is about 27853.6335152166. The cubic root of 775824900 is about 918.8710553618.

The spelling of 775824900 in words is "seven hundred seventy-five million, eight hundred twenty-four thousand, nine hundred".