830670422400 has 3024 divisors, whose sum is σ = 3965524689060. Its totient is φ = 171186462720.

The previous prime is 830670422389. The next prime is 830670422431. The reversal of 830670422400 is 4224076038.

830670422400 is a `hidden beast` number, since 8 + 306 + 70 + 42 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 19317916779 + ... + 19317916821.

Almost surely, 2^830670422400 is an apocalyptic number.

830670422400 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 830670422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982762344530).

830670422400 is an abundant number, since it is smaller than the sum of its proper divisors (3134854266660).

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

830670422400 is a wasteful number, since it uses less digits than its factorization.

830670422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 830670422400 its reverse (4224076038), we get a palindrome (834894498438).

The spelling of 830670422400 in words is "eight hundred thirty billion, six hundred seventy million, four hundred twenty-two thousand, four hundred".