7828800 has 168 divisors, whose sum is σ = 29480256. Its totient is φ = 1781760.

The previous prime is 7828783. The next prime is 7828841. The reversal of 7828800 is 88287.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×7828800² = 122580218880000, which contains 22 as substring.

It is a nialpdrome in base 16.

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, 33484 + ... + 33716.

Almost surely, 2^7828800 is an apocalyptic number.

7828800 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 7828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740128).

7828800 is an abundant number, since it is smaller than the sum of its proper divisors (21651456).

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

7828800 is a wasteful number, since it uses less digits than its factorization.

7828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 7828800 is about 2797.9992852036. Note that the first 3 decimals coincide. The cubic root of 7828800 is about 198.5630336988.

The spelling of 7828800 in words is "seven million, eight hundred twenty-eight thousand, eight hundred".