7872816 has 40 divisors (see below), whose sum is σ = 23244544. Its totient is φ = 2249280.

The previous prime is 7872803. The next prime is 7872817. The reversal of 7872816 is 6182787.

7872816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7872817) 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, 11380 + ... + 12051.

Almost surely, 2^7872816 is an apocalyptic number.

It is an amenable number.

7872816 is an abundant number, since it is smaller than the sum of its proper divisors (15371728).

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

7872816 is a wasteful number, since it uses less digits than its factorization.

7872816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23449 (or 23443 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The square root of 7872816 is about 2805.8538807286. The cubic root of 7872816 is about 198.9344666077.

The spelling of 7872816 in words is "seven million, eight hundred seventy-two thousand, eight hundred sixteen".