76584340 has 48 divisors (see below), whose sum is σ = 184528512. Its totient is φ = 26153856.

The previous prime is 76584317. The next prime is 76584379. The reversal of 76584340 is 4348567.

It is a super-2 number, since 2×76584340² = 11730322266471200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76584340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40087 + ... + 41953.

It is an arithmetic number, because the mean of its divisors is an integer number (3844344).

Almost surely, 2^76584340 is an apocalyptic number.

76584340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76584340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92264256).

76584340 is an abundant number, since it is smaller than the sum of its proper divisors (107944172).

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

76584340 is a wasteful number, since it uses less digits than its factorization.

76584340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 76584340 is about 8751.2479110125. The cubic root of 76584340 is about 424.6651849756.

The spelling of 76584340 in words is "seventy-six million, five hundred eighty-four thousand, three hundred forty".