76082436 has 96 divisors (see below), whose sum is σ = 208454400. Its totient is φ = 23950080.

The previous prime is 76082411. The next prime is 76082449. The reversal of 76082436 is 63428067.

76082436 is a `hidden beast` number, since 7 + 608 + 2 + 43 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76082436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270616 + ... + 270896.

It is an arithmetic number, because the mean of its divisors is an integer number (2171400).

Almost surely, 2^76082436 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 76082436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104227200).

76082436 is an abundant number, since it is smaller than the sum of its proper divisors (132371964).

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

76082436 is a wasteful number, since it uses less digits than its factorization.

76082436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 76082436 is about 8722.5246345310. The cubic root of 76082436 is about 423.7354541173.

The spelling of 76082436 in words is "seventy-six million, eighty-two thousand, four hundred thirty-six".