7963920 has 100 divisors (see below), whose sum is σ = 27682380. Its totient is φ = 2121984.

The previous prime is 7963919. The next prime is 7963937. The reversal of 7963920 is 293697.

It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 1971216 = 2448^2 + 1404^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5866 + ... + 7094.

Almost surely, 2^7963920 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 7963920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841190).

7963920 is an abundant number, since it is smaller than the sum of its proper divisors (19718460).

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

7963920 is a wasteful number, since it uses less digits than its factorization.

7963920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 7963920 is about 2822.0418140063. The cubic root of 7963920 is about 199.6988801952.

The spelling of 7963920 in words is "seven million, nine hundred sixty-three thousand, nine hundred twenty".