770558112 has 72 divisors (see below), whose sum is σ = 2195545716. Its totient is φ = 256352256.

The previous prime is 770558081. The next prime is 770558137. The reversal of 770558112 is 211855077.

770558112 is a `hidden beast` number, since 7 + 70 + 5 + 581 + 1 + 2 = 666.

770558112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 733543056 + 37015056 = 27084^2 + 6084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 163858 + ... + 168494.

Almost surely, 2^770558112 is an apocalyptic number.

770558112 is a gapful number since it is divisible by the number (72) 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 770558112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097772858).

770558112 is an abundant number, since it is smaller than the sum of its proper divisors (1424987604).

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

770558112 is a wasteful number, since it uses less digits than its factorization.

770558112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 770558112 is about 27758.9285095805. The cubic root of 770558112 is about 916.7870405595.

The spelling of 770558112 in words is "seven hundred seventy million, five hundred fifty-eight thousand, one hundred twelve".