770833440 has 144 divisors (see below), whose sum is σ = 2832881688. Its totient is φ = 189739008.

The previous prime is 770833433. The next prime is 770833463. The reversal of 770833440 is 44338077.

It can be written as a sum of positive squares in 4 ways, for example, as 384003216 + 386830224 = 19596^2 + 19668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 770833395 and 770833404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1869 + ... + 39308.

Almost surely, 2^770833440 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 770833440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416440844).

770833440 is an abundant number, since it is smaller than the sum of its proper divisors (2062048248).

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

770833440 is a wasteful number, since it uses less digits than its factorization.

770833440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41211 (or 41200 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 770833440 is about 27763.8873358901. The cubic root of 770833440 is about 916.8962199022.

The spelling of 770833440 in words is "seven hundred seventy million, eight hundred thirty-three thousand, four hundred forty".