7948800 has 240 divisors, whose sum is σ = 30444480. Its totient is φ = 2027520.

The previous prime is 7948769. The next prime is 7948817. The reversal of 7948800 is 88497.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345589 + ... + 345611.

It is an arithmetic number, because the mean of its divisors is an integer number (126852).

Almost surely, 2^7948800 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 7948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222240).

7948800 is an abundant number, since it is smaller than the sum of its proper divisors (22495680).

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

7948800 is a wasteful number, since it uses less digits than its factorization.

7948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7948800 is about 2819.3616298730. The cubic root of 7948800 is about 199.5724198609.

The spelling of 7948800 in words is "seven million, nine hundred forty-eight thousand, eight hundred".