770094000 has 320 divisors, whose sum is σ = 2973559680. Its totient is φ = 189388800.

The previous prime is 770093963. The next prime is 770094041. The reversal of 770094000 is 490077.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 701452 + ... + 702548.

It is an arithmetic number, because the mean of its divisors is an integer number (9292374).

Almost surely, 2^770094000 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 770094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486779840).

770094000 is an abundant number, since it is smaller than the sum of its proper divisors (2203465680).

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

770094000 is a wasteful number, since it uses less digits than its factorization.

770094000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 770094000 is about 27750.5675617635. The cubic root of 770094000 is about 916.6029413919.

The spelling of 770094000 in words is "seven hundred seventy million, ninety-four thousand".