770004144 has 200 divisors, whose sum is σ = 2743331360. Its totient is φ = 203046912.

The previous prime is 770004107. The next prime is 770004163. The reversal of 770004144 is 441400077.

770004144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114672 + ... + 121200.

Almost surely, 2^770004144 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 770004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371665680).

770004144 is an abundant number, since it is smaller than the sum of its proper divisors (1973327216).

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

770004144 is a wasteful number, since it uses less digits than its factorization.

770004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569 (or 6554 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 770004144 is about 27748.9485206197. The cubic root of 770004144 is about 916.5672896933.

The spelling of 770004144 in words is "seven hundred seventy million, four thousand, one hundred forty-four".