1797134976 has 576 divisors, whose sum is σ = 6772147200. Its totient is φ = 452874240.

The previous prime is 1797134947. The next prime is 1797134987. The reversal of 1797134976 is 6794317971.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22748505 + ... + 22748583.

It is an arithmetic number, because the mean of its divisors is an integer number (11757200).

Almost surely, 2^1797134976 is an apocalyptic number.

1797134976 is a gapful number since it is divisible by the number (16) 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 1797134976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386073600).

1797134976 is an abundant number, since it is smaller than the sum of its proper divisors (4975012224).

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

1797134976 is a wasteful number, since it uses less digits than its factorization.

1797134976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 135 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 54.

The square root of 1797134976 is about 42392.6287932230. The cubic root of 1797134976 is about 1215.7946617728.

The spelling of 1797134976 in words is "one billion, seven hundred ninety-seven million, one hundred thirty-four thousand, nine hundred seventy-six".