830828400 has 120 divisors (see below), whose sum is σ = 2718230784. Its totient is φ = 216825600.

The previous prime is 830828393. The next prime is 830828407. The reversal of 830828400 is 4828038.

830828400 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 (830828393) and next prime (830828407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830828407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49035 + ... + 63765.

Almost surely, 2^830828400 is an apocalyptic number.

830828400 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 830828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359115392).

830828400 is an abundant number, since it is smaller than the sum of its proper divisors (1887402384).

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

830828400 is a wasteful number, since it uses less digits than its factorization.

830828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14799 (or 14788 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 830828400 is about 28824.0940881062. The cubic root of 830828400 is about 940.0921895399.

The spelling of 830828400 in words is "eight hundred thirty million, eight hundred twenty-eight thousand, four hundred".