770906304 has 336 divisors, whose sum is σ = 2757830400. Its totient is φ = 200890368.

The previous prime is 770906291. The next prime is 770906393. The reversal of 770906304 is 403609077.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2221459 + ... + 2221805.

Almost surely, 2^770906304 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 770906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378915200).

770906304 is an abundant number, since it is smaller than the sum of its proper divisors (1986924096).

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

770906304 is a wasteful number, since it uses less digits than its factorization.

770906304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 770906304 is about 27765.1995130595. The cubic root of 770906304 is about 916.9251092479.

The spelling of 770906304 in words is "seven hundred seventy million, nine hundred six thousand, three hundred four".