760380 has 96 divisors (see below), whose sum is σ = 2419200. Its totient is φ = 177408.

The previous prime is 760373. The next prime is 760411. The reversal of 760380 is 83067.

It is a self number, because there is not a number n which added to its sum of digits gives 760380.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26206 + ... + 26234.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁷⁶⁰³⁸⁰ 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 760380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209600).

760380 is an abundant number, since it is smaller than the sum of its proper divisors (1658820).

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

760380 is a wasteful number, since it uses less digits than its factorization.

760380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 760380 is about 871.9977064190. The cubic root of 760380 is about 91.2732598489.

The spelling of 760380 in words is "seven hundred sixty thousand, three hundred eighty".