7868400 has 120 divisors (see below), whose sum is σ = 25831680. Its totient is φ = 2046720.

The previous prime is 7868381. The next prime is 7868423. The reversal of 7868400 is 48687.

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

It is a zygodrome in base 2.

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, 94759 + ... + 94841.

It is an arithmetic number, because the mean of its divisors is an integer number (215264).

Almost surely, 2^7868400 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 7868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12915840).

7868400 is an abundant number, since it is smaller than the sum of its proper divisors (17963280).

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

7868400 is a wasteful number, since it uses less digits than its factorization.

7868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 7868400 is about 2805.0668441233. The cubic root of 7868400 is about 198.8972643787.

The spelling of 7868400 in words is "seven million, eight hundred sixty-eight thousand, four hundred".