7828100 has 72 divisors (see below), whose sum is σ = 19873728. Its totient is φ = 2620800.

The previous prime is 7828099. The next prime is 7828111. The reversal of 7828100 is 18287.

7828100 = T₁₆₀ + T₁₆₁ + ... + T₃₇₀.

7828100 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7828100² = 122558299220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

7828100 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 7828100.

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, 36995 + ... + 37205.

It is an arithmetic number, because the mean of its divisors is an integer number (276024).

Almost surely, 2^7828100 is an apocalyptic number.

7828100 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 7828100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936864).

7828100 is an abundant number, since it is smaller than the sum of its proper divisors (12045628).

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

7828100 is a wasteful number, since it uses less digits than its factorization.

7828100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 7828100 is about 2797.8741930258. The cubic root of 7828100 is about 198.5571154540.

The spelling of 7828100 in words is "seven million, eight hundred twenty-eight thousand, one hundred".