834770125728 has 384 divisors, whose sum is σ = 3037305600000. Its totient is φ = 216696453120.

The previous prime is 834770125727. The next prime is 834770125733. The reversal of 834770125728 is 827521077438.

834770125728 is a `hidden beast` number, since 83 + 477 + 0 + 1 + 25 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (834770125727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179556748 + ... + 179561396.

It is an arithmetic number, because the mean of its divisors is an integer number (7909650000).

Almost surely, 2^834770125728 is an apocalyptic number.

834770125728 is a gapful number since it is divisible by the number (88) 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 834770125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518652800000).

834770125728 is an abundant number, since it is smaller than the sum of its proper divisors (2202535474272).

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

834770125728 is a wasteful number, since it uses less digits than its factorization.

834770125728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7385 (or 7371 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 834770125728 in words is "eight hundred thirty-four billion, seven hundred seventy million, one hundred twenty-five thousand, seven hundred twenty-eight".