7978800 has 120 divisors (see below), whose sum is σ = 26216080. Its totient is φ = 2073600.

The previous prime is 7978793. The next prime is 7978807. The reversal of 7978800 is 88797.

It is an interprime number because it is at equal distance from previous prime (7978793) and next prime (7978807).

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

It is a super-2 number, since 2×7978800² = 127322498880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7978807) 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, 73146 + ... + 73254.

Almost surely, 2^7978800 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 7978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13108040).

7978800 is an abundant number, since it is smaller than the sum of its proper divisors (18237280).

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

7978800 is a wasteful number, since it uses less digits than its factorization.

7978800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 7978800 is about 2824.6769726820. The cubic root of 7978800 is about 199.8231770476.

It can be divided in two parts, 7978 and 800, that added together give a palindrome (8778).

The spelling of 7978800 in words is "seven million, nine hundred seventy-eight thousand, eight hundred".