76460 has 12 divisors (see below), whose sum is σ = 160608. Its totient is φ = 30576.

The previous prime is 76441. The next prime is 76463. The reversal of 76460 is 6467.

It is a super-2 number, since 2×76460² = 11692263200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76460.

It is not an unprimeable number, because it can be changed into a prime (76463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1892 + ... + 1931.

It is an arithmetic number, because the mean of its divisors is an integer number (13384).

2⁷⁶⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

76460 is an abundant number, since it is smaller than the sum of its proper divisors (84148).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80304).

76460 is a wasteful number, since it uses less digits than its factorization.

76460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 76460 is about 276.5140141114. The cubic root of 76460 is about 42.4435236001.

The spelling of 76460 in words is "seventy-six thousand, four hundred sixty".