76182816 has 48 divisors (see below), whose sum is σ = 200981088. Its totient is φ = 25267200.

The previous prime is 76182811. The next prime is 76182851. The reversal of 76182816 is 61828167.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (76182811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18376 + ... + 22136.

It is an arithmetic number, because the mean of its divisors is an integer number (4187106).

Almost surely, 2^76182816 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 76182816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100490544).

76182816 is an abundant number, since it is smaller than the sum of its proper divisors (124798272).

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

76182816 is a wasteful number, since it uses less digits than its factorization.

76182816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3977 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 76182816 is about 8728.2768058764. The cubic root of 76182816 is about 423.9217251969.

The spelling of 76182816 in words is "seventy-six million, one hundred eighty-two thousand, eight hundred sixteen".