7906736 has 40 divisors (see below), whose sum is σ = 16665600. Its totient is φ = 3620160.

The previous prime is 7906729. The next prime is 7906741. The reversal of 7906736 is 6376097.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 7906736.

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 7 ways as a sum of consecutive naturals, for example, 9005 + ... + 9843.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^7906736 is an apocalyptic number.

7906736 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 7906736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332800).

7906736 is an abundant number, since it is smaller than the sum of its proper divisors (8758864).

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

7906736 is a wasteful number, since it uses less digits than its factorization.

7906736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 7906736 is about 2811.8918898137. The cubic root of 7906736 is about 199.2197600866.

The spelling of 7906736 in words is "seven million, nine hundred six thousand, seven hundred thirty-six".