7971835806 has 160 divisors (see below), whose sum is σ = 20900436480. Its totient is φ = 2244153600.

The previous prime is 7971835793. The next prime is 7971835829. The reversal of 7971835806 is 6085381797.

It is a super-2 number, since 2×7971835806² (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 2391561 + ... + 2394891.

It is an arithmetic number, because the mean of its divisors is an integer number (130627728).

Almost surely, 2^7971835806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7971835806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450218240).

7971835806 is an abundant number, since it is smaller than the sum of its proper divisors (12928600674).

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

7971835806 is a wasteful number, since it uses less digits than its factorization.

7971835806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 7971835806 is about 89285.1376545951. The cubic root of 7971835806 is about 1997.6502241913.

The spelling of 7971835806 in words is "seven billion, nine hundred seventy-one million, eight hundred thirty-five thousand, eight hundred six".