770408000 has 224 divisors, whose sum is σ = 2054108160. Its totient is φ = 285542400.

The previous prime is 770407993. The next prime is 770408071. The reversal of 770408000 is 804077.

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 31 ways as a sum of consecutive naturals, for example, 9751961 + ... + 9752039.

Almost surely, 2^770408000 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 770408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027054080).

770408000 is an abundant number, since it is smaller than the sum of its proper divisors (1283700160).

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

770408000 is a wasteful number, since it uses less digits than its factorization.

770408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 770408000 is about 27756.2245271218. The cubic root of 770408000 is about 916.7275037676.

The spelling of 770408000 in words is "seven hundred seventy million, four hundred eight thousand".