770378400 has 432 divisors, whose sum is σ = 3027181248. Its totient is φ = 182784000.

The previous prime is 770378383. The next prime is 770378437. The reversal of 770378400 is 4873077.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 5623132 + ... + 5623268.

It is an arithmetic number, because the mean of its divisors is an integer number (7007364).

Almost surely, 2^770378400 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 770378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513590624).

770378400 is an abundant number, since it is smaller than the sum of its proper divisors (2256802848).

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

770378400 is a wasteful number, since it uses less digits than its factorization.

770378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 770378400 is about 27755.6913082705. The cubic root of 770378400 is about 916.7157630269.

The spelling of 770378400 in words is "seven hundred seventy million, three hundred seventy-eight thousand, four hundred".