7982736 has 40 divisors (see below), whose sum is σ = 21709920. Its totient is φ = 2520576.

The previous prime is 7982729. The next prime is 7982749. The reversal of 7982736 is 6372897.

7982736 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 7⁶ + 9³ + 8⁷ + 2 + 7⁸ + 3⁷ + 6³ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3465 + ... + 5288.

It is an arithmetic number, because the mean of its divisors is an integer number (542748).

Almost surely, 2^7982736 is an apocalyptic number.

7982736 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

7982736 is an abundant number, since it is smaller than the sum of its proper divisors (13727184).

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

7982736 is a wasteful number, since it uses less digits than its factorization.

7982736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8783 (or 8777 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 7982736 is about 2825.3736036142. The cubic root of 7982736 is about 199.8560297210.

The spelling of 7982736 in words is "seven million, nine hundred eighty-two thousand, seven hundred thirty-six".