830114880 has 224 divisors, whose sum is σ = 3074822400. Its totient is φ = 189665280.

The previous prime is 830114833. The next prime is 830114891. The reversal of 830114880 is 88411038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328020 + ... + 330540.

Almost surely, 2^830114880 is an apocalyptic number.

830114880 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 830114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537411200).

830114880 is an abundant number, since it is smaller than the sum of its proper divisors (2244707520).

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

830114880 is a wasteful number, since it uses less digits than its factorization.

830114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 830114880 is about 28811.7142842976. The cubic root of 830114880 is about 939.8229936817.

The spelling of 830114880 in words is "eight hundred thirty million, one hundred fourteen thousand, eight hundred eighty".