7849920 has 224 divisors, whose sum is σ = 29187648. Its totient is φ = 1769472.

The previous prime is 7849879. The next prime is 7849931. The reversal of 7849920 is 299487.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212142 + ... + 212178.

It is an arithmetic number, because the mean of its divisors is an integer number (130302).

Almost surely, 2^7849920 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 7849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

7849920 is an abundant number, since it is smaller than the sum of its proper divisors (21337728).

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

7849920 is a wasteful number, since it uses less digits than its factorization.

7849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 7849920 is about 2801.7708685758. The cubic root of 7849920 is about 198.7414299536.

The spelling of 7849920 in words is "seven million, eight hundred forty-nine thousand, nine hundred twenty".