760038440 has 64 divisors (see below), whose sum is σ = 1962005760. Its totient is φ = 259568640.

The previous prime is 760038371. The next prime is 760038451. The reversal of 760038440 is 44830067.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 760038397 and 760038406.

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, 68480 + ... + 78800.

It is an arithmetic number, because the mean of its divisors is an integer number (30656340).

Almost surely, 2^760038440 is an apocalyptic number.

760038440 is a gapful number since it is divisible by the number (70) 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 760038440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981002880).

760038440 is an abundant number, since it is smaller than the sum of its proper divisors (1201967320).

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

760038440 is a wasteful number, since it uses less digits than its factorization.

760038440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10602 (or 10598 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 760038440 is about 27568.7946780413. The cubic root of 760038440 is about 912.5959126055.

The spelling of 760038440 in words is "seven hundred sixty million, thirty-eight thousand, four hundred forty".