770044032 has 96 divisors (see below), whose sum is σ = 2227680000. Its totient is φ = 255315456.

The previous prime is 770044031. The next prime is 770044039. The reversal of 770044032 is 230440077.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×770044032² = 1185935622437634048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 770043987 and 770044005.

It is not an unprimeable number, because it can be changed into a prime (770044031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227569 + ... + 230927.

It is an arithmetic number, because the mean of its divisors is an integer number (23205000).

Almost surely, 2^770044032 is an apocalyptic number.

770044032 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 770044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113840000).

770044032 is an abundant number, since it is smaller than the sum of its proper divisors (1457635968).

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

770044032 is a wasteful number, since it uses less digits than its factorization.

770044032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 770044032 is about 27749.6672412481. The cubic root of 770044032 is about 916.5831161903.

The spelling of 770044032 in words is "seven hundred seventy million, forty-four thousand, thirty-two".