76414416 has 80 divisors (see below), whose sum is σ = 214361280. Its totient is φ = 23316480.

The previous prime is 76414379. The next prime is 76414417. The reversal of 76414416 is 61441467.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76414417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86296 + ... + 87176.

It is an arithmetic number, because the mean of its divisors is an integer number (2679516).

Almost surely, 2^76414416 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 76414416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107180640).

76414416 is an abundant number, since it is smaller than the sum of its proper divisors (137946864).

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

76414416 is a wasteful number, since it uses less digits than its factorization.

76414416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 76414416 is about 8741.5339614967. The cubic root of 76414416 is about 424.3508724913.

The spelling of 76414416 in words is "seventy-six million, four hundred fourteen thousand, four hundred sixteen".