770679840 has 384 divisors, whose sum is σ = 2941747200. Its totient is φ = 169344000.

The previous prime is 770679799. The next prime is 770679851. The reversal of 770679840 is 48976077.

770679840 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 770679840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5103765 + ... + 5103915.

It is an arithmetic number, because the mean of its divisors is an integer number (7660800).

Almost surely, 2^770679840 is an apocalyptic number.

770679840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470873600).

770679840 is an abundant number, since it is smaller than the sum of its proper divisors (2171067360).

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

770679840 is a wasteful number, since it uses less digits than its factorization.

770679840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 770679840 is about 27761.1210148294. The cubic root of 770679840 is about 916.8353141312.

The spelling of 770679840 in words is "seven hundred seventy million, six hundred seventy-nine thousand, eight hundred forty".