7999920 has 120 divisors (see below), whose sum is σ = 27623232. Its totient is φ = 2073600.

The previous prime is 7999919. The next prime is 7999921. The reversal of 7999920 is 299997.

It is an interprime number because it is at equal distance from previous prime (7999919) and next prime (7999921).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7999921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29385 + ... + 29655.

Almost surely, 2^7999920 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 7999920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13811616).

7999920 is an abundant number, since it is smaller than the sum of its proper divisors (19623312).

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

7999920 is a wasteful number, since it uses less digits than its factorization.

7999920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 7999920 is about 2828.4129825752. The cubic root of 7999920 is about 199.9993333311. Note that the first 3 decimals are identical.

It can be divided in two parts, 79 and 99920, that added together give a palindrome (99999).

The spelling of 7999920 in words is "seven million, nine hundred ninety-nine thousand, nine hundred twenty".