760049440 has 96 divisors (see below), whose sum is σ = 1828020096. Its totient is φ = 298598400.

The previous prime is 760049399. The next prime is 760049453. The reversal of 760049440 is 44940067.

760049440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 760049396 and 760049405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3937984 + ... + 3938176.

It is an arithmetic number, because the mean of its divisors is an integer number (19041876).

Almost surely, 2^760049440 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 760049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914010048).

760049440 is an abundant number, since it is smaller than the sum of its proper divisors (1067970656).

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

760049440 is a wasteful number, since it uses less digits than its factorization.

760049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 760049440 is about 27568.9941782431. The cubic root of 760049440 is about 912.6003152366.

The spelling of 760049440 in words is "seven hundred sixty million, forty-nine thousand, four hundred forty".