7836816 has 80 divisors (see below), whose sum is σ = 22984640. Its totient is φ = 2280960.

The previous prime is 7836791. The next prime is 7836823. The reversal of 7836816 is 6186387.

7836816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7836816² = 122831370035712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11526 + ... + 12186.

It is an arithmetic number, because the mean of its divisors is an integer number (287308).

Almost surely, 2^7836816 is an apocalyptic number.

7836816 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7836816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11492320).

7836816 is an abundant number, since it is smaller than the sum of its proper divisors (15147824).

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

7836816 is a wasteful number, since it uses less digits than its factorization.

7836816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 698 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 7836816 is about 2799.4313708323. The cubic root of 7836816 is about 198.6307809202.

The spelling of 7836816 in words is "seven million, eight hundred thirty-six thousand, eight hundred sixteen".