760268380 has 48 divisors (see below), whose sum is σ = 1653531264. Its totient is φ = 293428800.

The previous prime is 760268317. The next prime is 760268387. The reversal of 760268380 is 83862067.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760268387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66055 + ... + 76705.

It is an arithmetic number, because the mean of its divisors is an integer number (34448568).

Almost surely, 2^760268380 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 760268380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826765632).

760268380 is an abundant number, since it is smaller than the sum of its proper divisors (893262884).

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

760268380 is a wasteful number, since it uses less digits than its factorization.

760268380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10786 (or 10784 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 760268380 is about 27572.9646574321. The cubic root of 760268380 is about 912.6879347695.

The spelling of 760268380 in words is "seven hundred sixty million, two hundred sixty-eight thousand, three hundred eighty".