828878400 has 336 divisors, whose sum is σ = 3454481280. Its totient is φ = 189388800.

The previous prime is 828878381. The next prime is 828878419. The reversal of 828878400 is 4878828.

It is an interprime number because it is at equal distance from previous prime (828878381) and next prime (828878419).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301030 + ... + 303770.

Almost surely, 2^828878400 is an apocalyptic number.

828878400 is a gapful number since it is divisible by the number (80) 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 828878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727240640).

828878400 is an abundant number, since it is smaller than the sum of its proper divisors (2625602880).

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

828878400 is a wasteful number, since it uses less digits than its factorization.

828878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 828878400 is about 28790.2483490504. The cubic root of 828878400 is about 939.3561306722.

The spelling of 828878400 in words is "eight hundred twenty-eight million, eight hundred seventy-eight thousand, four hundred".