76260 has 48 divisors (see below), whose sum is σ = 225792. Its totient is φ = 19200.

The previous prime is 76259. The next prime is 76261. The reversal of 76260 is 6267.

It is an interprime number because it is at equal distance from previous prime (76259) and next prime (76261).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76260.

It is not an unprimeable number, because it can be changed into a prime (76261) 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, 1840 + ... + 1880.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2⁷⁶²⁶⁰ 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 76260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896).

76260 is an abundant number, since it is smaller than the sum of its proper divisors (149532).

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

76260 is a wasteful number, since it uses less digits than its factorization.

76260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 76260 is about 276.1521319853. The cubic root of 76260 is about 42.4064841157.

The spelling of 76260 in words is "seventy-six thousand, two hundred sixty".