830126400 has 168 divisors, whose sum is σ = 2742797664. Its totient is φ = 219801600.

The previous prime is 830126399. The next prime is 830126461. The reversal of 830126400 is 4621038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 781870 + ... + 782930.

Almost surely, 2^830126400 is an apocalyptic number.

830126400 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 830126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371398832).

830126400 is an abundant number, since it is smaller than the sum of its proper divisors (1912671264).

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

830126400 is a wasteful number, since it uses less digits than its factorization.

830126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 830126400 is about 28811.9142022879. The cubic root of 830126400 is about 939.8273411566.

Adding to 830126400 its reverse (4621038), we get a palindrome (834747438).

The spelling of 830126400 in words is "eight hundred thirty million, one hundred twenty-six thousand, four hundred".