770918400 has 432 divisors, whose sum is σ = 3168547200. Its totient is φ = 175472640.

The previous prime is 770918389. The next prime is 770918411. The reversal of 770918400 is 4819077.

It is an interprime number because it is at equal distance from previous prime (770918389) and next prime (770918411).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3225481 + ... + 3225719.

It is an arithmetic number, because the mean of its divisors is an integer number (7334600).

Almost surely, 2^770918400 is an apocalyptic number.

770918400 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 770918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584273600).

770918400 is an abundant number, since it is smaller than the sum of its proper divisors (2397628800).

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

770918400 is a wasteful number, since it uses less digits than its factorization.

770918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 770918400 is about 27765.4173388408. The cubic root of 770918400 is about 916.9299049315.

It can be divided in two parts, 77091 and 8400, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 770918400 in words is "seven hundred seventy million, nine hundred eighteen thousand, four hundred".