7898800 has 180 divisors, whose sum is σ = 24540096. Its totient is φ = 2419200.

The previous prime is 7898791. The next prime is 7898801. The reversal of 7898800 is 88987.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7898801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 254785 + ... + 254815.

Almost surely, 2^7898800 is an apocalyptic number.

7898800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7898800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12270048).

7898800 is an abundant number, since it is smaller than the sum of its proper divisors (16641296).

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

7898800 is a wasteful number, since it uses less digits than its factorization.

7898800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 7898800 is about 2810.4803859839. The cubic root of 7898800 is about 199.1530854072.

The spelling of 7898800 in words is "seven million, eight hundred ninety-eight thousand, eight hundred".