770580720 has 480 divisors, whose sum is σ = 3358118400. Its totient is φ = 153778176.

The previous prime is 770580719. The next prime is 770580751. The reversal of 770580720 is 27085077.

770580720 is a `hidden beast` number, since 7 + 7 + 0 + 580 + 72 + 0 = 666.

770580720 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244571 + ... + 1245189.

It is an arithmetic number, because the mean of its divisors is an integer number (6996080).

Almost surely, 2^770580720 is an apocalyptic number.

770580720 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 770580720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679059200).

770580720 is an abundant number, since it is smaller than the sum of its proper divisors (2587537680).

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

770580720 is a wasteful number, since it uses less digits than its factorization.

770580720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 770580720 is about 27759.3357269226. The cubic root of 770580720 is about 916.7960065796.

The spelling of 770580720 in words is "seven hundred seventy million, five hundred eighty thousand, seven hundred twenty".