76120416 has 72 divisors (see below), whose sum is σ = 218476440. Its totient is φ = 25138176.

The previous prime is 76120391. The next prime is 76120423. The reversal of 76120416 is 61402167.

76120416 is a `hidden beast` number, since 7 + 612 + 0 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76120416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31375 + ... + 33713.

It is an arithmetic number, because the mean of its divisors is an integer number (3034395).

Almost surely, 2^76120416 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 76120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109238220).

76120416 is an abundant number, since it is smaller than the sum of its proper divisors (142356024).

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

76120416 is a wasteful number, since it uses less digits than its factorization.

76120416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2457 counting only the distinct ones).

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

The square root of 76120416 is about 8724.7014848647. The cubic root of 76120416 is about 423.8059513140.

The spelling of 76120416 in words is "seventy-six million, one hundred twenty thousand, four hundred sixteen".