7969920 has 128 divisors (see below), whose sum is σ = 29082240. Its totient is φ = 1818624.

The previous prime is 7969901. The next prime is 7969943. The reversal of 7969920 is 299697.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13144 + ... + 13736.

It is an arithmetic number, because the mean of its divisors is an integer number (227205).

Almost surely, 2^7969920 is an apocalyptic number.

7969920 is a gapful number since it is divisible by the number (70) 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 7969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14541120).

7969920 is an abundant number, since it is smaller than the sum of its proper divisors (21112320).

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

7969920 is a wasteful number, since it uses less digits than its factorization.

7969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 7969920 is about 2823.1046739361. The cubic root of 7969920 is about 199.7490185065.

The spelling of 7969920 in words is "seven million, nine hundred sixty-nine thousand, nine hundred twenty".