828752400 has 180 divisors, whose sum is σ = 3286958272. Its totient is φ = 189423360.

The previous prime is 828752389. The next prime is 828752443. The reversal of 828752400 is 4257828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8757 + ... + 41643.

Almost surely, 2^828752400 is an apocalyptic number.

828752400 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 828752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643479136).

828752400 is an abundant number, since it is smaller than the sum of its proper divisors (2458205872).

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

828752400 is a wasteful number, since it uses less digits than its factorization.

828752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32918 (or 32904 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 828752400 is about 28788.0600249478. The cubic root of 828752400 is about 939.3085302561.

The spelling of 828752400 in words is "eight hundred twenty-eight million, seven hundred fifty-two thousand, four hundred".