830868480 has 528 divisors, whose sum is σ = 3308279520. Its totient is φ = 191102976.

The previous prime is 830868463. The next prime is 830868481. The reversal of 830868480 is 84868038.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (830868481) 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, 11381724 + ... + 11381796.

Almost surely, 2^830868480 is an apocalyptic number.

830868480 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 830868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654139760).

830868480 is an abundant number, since it is smaller than the sum of its proper divisors (2477411040).

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

830868480 is a wasteful number, since it uses less digits than its factorization.

830868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 830868480 is about 28824.7893314071. The cubic root of 830868480 is about 940.1073062953.

The spelling of 830868480 in words is "eight hundred thirty million, eight hundred sixty-eight thousand, four hundred eighty".