769422800 has 60 divisors (see below), whose sum is σ = 1869394860. Its totient is φ = 304296960.

The previous prime is 769422793. The next prime is 769422827. The reversal of 769422800 is 8224967.

It can be written as a sum of positive squares in 6 ways, for example, as 3904576 + 765518224 = 1976^2 + 27668^2 .

It is a super-2 number, since 2×769422800² = 1184022890319680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24794 + ... + 46406.

It is an arithmetic number, because the mean of its divisors is an integer number (31156581).

Almost surely, 2^769422800 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 769422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934697430).

769422800 is an abundant number, since it is smaller than the sum of its proper divisors (1099972060).

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

769422800 is a wasteful number, since it uses less digits than its factorization.

769422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21720 (or 21709 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 769422800 is about 27738.4714791569. The cubic root of 769422800 is about 916.3365658065.

The spelling of 769422800 in words is "seven hundred sixty-nine million, four hundred twenty-two thousand, eight hundred".