770068800 has 252 divisors, whose sum is σ = 2791411740. Its totient is φ = 201277440.

The previous prime is 770068723. The next prime is 770068823. The reversal of 770068800 is 8860077.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12278016 + 757790784 = 3504^2 + 27528^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 762696 + ... + 763704.

Almost surely, 2^770068800 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 770068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395705870).

770068800 is an abundant number, since it is smaller than the sum of its proper divisors (2021342940).

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

770068800 is a wasteful number, since it uses less digits than its factorization.

770068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 770068800 is about 27750.1135132813. The cubic root of 770068800 is about 916.5929431985.

The spelling of 770068800 in words is "seven hundred seventy million, sixty-eight thousand, eight hundred".