770564000 has 96 divisors (see below), whose sum is σ = 1993118400. Its totient is φ = 291974400.

The previous prime is 770563987. The next prime is 770564027. The reversal of 770564000 is 465077.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70931 + ... + 81069.

It is an arithmetic number, because the mean of its divisors is an integer number (20761650).

Almost surely, 2^770564000 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 770564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996559200).

770564000 is an abundant number, since it is smaller than the sum of its proper divisors (1222554400).

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

770564000 is a wasteful number, since it uses less digits than its factorization.

770564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10183 (or 10165 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 770564000 is about 27759.0345653447. The cubic root of 770564000 is about 916.7893756757.

The spelling of 770564000 in words is "seven hundred seventy million, five hundred sixty-four thousand".