770884560 has 320 divisors, whose sum is σ = 2828390400. Its totient is φ = 192563712.

The previous prime is 770884507. The next prime is 770884561. The reversal of 770884560 is 65488077.

770884560 is a `hidden beast` number, since 7 + 7 + 0 + 8 + 84 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770884561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2930989 + ... + 2931251.

It is an arithmetic number, because the mean of its divisors is an integer number (8838720).

Almost surely, 2^770884560 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 770884560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414195200).

770884560 is an abundant number, since it is smaller than the sum of its proper divisors (2057505840).

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

770884560 is a wasteful number, since it uses less digits than its factorization.

770884560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 770884560 is about 27764.8079409889. The cubic root of 770884560 is about 916.9164883096.

The spelling of 770884560 in words is "seven hundred seventy million, eight hundred eighty-four thousand, five hundred sixty".