76582260 has 120 divisors (see below), whose sum is σ = 246314376. Its totient is φ = 19906560.

The previous prime is 76582241. The next prime is 76582277. The reversal of 76582260 is 6228567.

76582260 is a `hidden beast` number, since 76 + 582 + 2 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 73719396 = 1692^2 + 8586^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 65844 + ... + 66996.

Almost surely, 2^76582260 is an apocalyptic number.

76582260 is the 5535-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76582260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123157188).

76582260 is an abundant number, since it is smaller than the sum of its proper divisors (169732116).

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

76582260 is a wasteful number, since it uses less digits than its factorization.

76582260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 76582260 is about 8751.1290700115. The cubic root of 76582260 is about 424.6613403620.

The spelling of 76582260 in words is "seventy-six million, five hundred eighty-two thousand, two hundred sixty".