7938480 has 160 divisors (see below), whose sum is σ = 27998208. Its totient is φ = 1843200.

The previous prime is 7938457. The next prime is 7938481. The reversal of 7938480 is 848397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7938481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81792 + ... + 81888.

Almost surely, 2^7938480 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 7938480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999104).

7938480 is an abundant number, since it is smaller than the sum of its proper divisors (20059728).

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

7938480 is a wasteful number, since it uses less digits than its factorization.

7938480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 7938480 is about 2817.5308339040. The cubic root of 7938480 is about 199.4860135546.

The spelling of 7938480 in words is "seven million, nine hundred thirty-eight thousand, four hundred eighty".