834764000000 has 378 divisors, whose sum is σ = 2423426401620. Its totient is φ = 286137600000.

The previous prime is 834763999961. The next prime is 834764000069. The reversal of 834764000000 is 467438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 195997871 + ... + 196002129.

Almost surely, 2^834764000000 is an apocalyptic number.

834764000000 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 834764000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211713200810).

834764000000 is an abundant number, since it is smaller than the sum of its proper divisors (1588662401620).

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

834764000000 is an frugal number, since it uses more digits than its factorization.

834764000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 834764000000 its reverse (467438), we get a palindrome (834764467438).

The spelling of 834764000000 in words is "eight hundred thirty-four billion, seven hundred sixty-four million", and thus it is an aban number.