830238050880 has 2240 divisors, whose sum is σ = 3820968898560. Its totient is φ = 166725402624.

The previous prime is 830238050839. The next prime is 830238050881. The reversal of 830238050880 is 88050832038.

830238050880 is a `hidden beast` number, since 8 + 30 + 2 + 38 + 0 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×830238050880² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (830238050881) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2933703219 + ... + 2933703501.

Almost surely, 2^830238050880 is an apocalyptic number.

830238050880 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 830238050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910484449280).

830238050880 is an abundant number, since it is smaller than the sum of its proper divisors (2990730847680).

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

830238050880 is a wasteful number, since it uses less digits than its factorization.

830238050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 830238050880 in words is "eight hundred thirty billion, two hundred thirty-eight million, fifty thousand, eight hundred eighty".