828750 has 80 divisors (see below), whose sum is σ = 2361744. Its totient is φ = 192000.

The previous prime is 828743. The next prime is 828757. The reversal of 828750 is 57828.

828750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (828743) and next prime (828757).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828757) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48742 + ... + 48758.

2⁸²⁸⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180872).

828750 is an abundant number, since it is smaller than the sum of its proper divisors (1532994).

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

828750 is a wasteful number, since it uses less digits than its factorization.

828750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 828750 is about 910.3570728017. The cubic root of 828750 is about 93.9307623535.

The spelling of 828750 in words is "eight hundred twenty-eight thousand, seven hundred fifty".