770883360 has 384 divisors, whose sum is σ = 2850059520. Its totient is φ = 174440448.

The previous prime is 770883359. The next prime is 770883361. The reversal of 770883360 is 63388077.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (770883359) and next prime (770883361).

It is a super-2 number, since 2×770883360² = 1188522309449779200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770883361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17927499 + ... + 17927541.

It is an arithmetic number, because the mean of its divisors is an integer number (7422030).

Almost surely, 2^770883360 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 770883360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425029760).

770883360 is an abundant number, since it is smaller than the sum of its proper divisors (2079176160).

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

770883360 is a wasteful number, since it uses less digits than its factorization.

770883360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 770883360 is about 27764.7863308904. The cubic root of 770883360 is about 916.9160125357.

The spelling of 770883360 in words is "seven hundred seventy million, eight hundred eighty-three thousand, three hundred sixty".