830905138800 has 240 divisors, whose sum is σ = 3226262434560. Its totient is φ = 201431520000.

The previous prime is 830905138787. The next prime is 830905138801. The reversal of 830905138800 is 8831509038.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830905138801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3378276 + ... + 3615875.

It is an arithmetic number, because the mean of its divisors is an integer number (13442760144).

Almost surely, 2^830905138800 is an apocalyptic number.

830905138800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830905138800 is an abundant number, since it is smaller than the sum of its proper divisors (2395357295760).

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

830905138800 is a wasteful number, since it uses less digits than its factorization.

830905138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994189 (or 6994172 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 830905138800 in words is "eight hundred thirty billion, nine hundred five million, one hundred thirty-eight thousand, eight hundred".