834900480 has 320 divisors, whose sum is σ = 3040519680. Its totient is φ = 217055232.

The previous prime is 834900461. The next prime is 834900497. The reversal of 834900480 is 84009438.

It is a tau number, because it is divible by the number of its divisors (320).

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

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, 3248512 + ... + 3248768.

It is an arithmetic number, because the mean of its divisors is an integer number (9501624).

Almost surely, 2^834900480 is an apocalyptic number.

834900480 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 834900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520259840).

834900480 is an abundant number, since it is smaller than the sum of its proper divisors (2205619200).

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

834900480 is a wasteful number, since it uses less digits than its factorization.

834900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 834900480 is about 28894.6444864788. The cubic root of 834900480 is about 941.6255560754.

The spelling of 834900480 in words is "eight hundred thirty-four million, nine hundred thousand, four hundred eighty".