76021416 has 160 divisors (see below), whose sum is σ = 231042240. Its totient is φ = 23265792.

The previous prime is 76021391. The next prime is 76021427. The reversal of 76021416 is 61412067.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 76021416.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 738021 + ... + 738123.

It is an arithmetic number, because the mean of its divisors is an integer number (1444014).

Almost surely, 2^76021416 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 76021416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115521120).

76021416 is an abundant number, since it is smaller than the sum of its proper divisors (155020824).

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

76021416 is a wasteful number, since it uses less digits than its factorization.

76021416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76021416 is about 8719.0260924028. The cubic root of 76021416 is about 423.6221417055.

The spelling of 76021416 in words is "seventy-six million, twenty-one thousand, four hundred sixteen".