770679360 has 672 divisors, whose sum is σ = 3235220352. Its totient is φ = 172523520.

The previous prime is 770679347. The next prime is 770679361. The reversal of 770679360 is 63976077.

770679360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (770679361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14541094 + ... + 14541146.

It is an arithmetic number, because the mean of its divisors is an integer number (4814316).

Almost surely, 2^770679360 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 770679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617610176).

770679360 is an abundant number, since it is smaller than the sum of its proper divisors (2464540992).

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

770679360 is a wasteful number, since it uses less digits than its factorization.

770679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 770679360 is about 27761.1123696440. The cubic root of 770679360 is about 916.8351237880.

The spelling of 770679360 in words is "seven hundred seventy million, six hundred seventy-nine thousand, three hundred sixty".