8101792 has 48 divisors (see below), whose sum is σ = 17268552. Its totient is φ = 3727360.

The previous prime is 8101789. The next prime is 8101799. The reversal of 8101792 is 2971018.

It can be written as a sum of positive squares in 4 ways, for example, as 8088336 + 13456 = 2844^2 + 116^2 .

It is a super-2 number, since 2×8101792² = 131278067222528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8101792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8101799) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28692 + ... + 28972.

Almost surely, 2^8101792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8101792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634276).

8101792 is an abundant number, since it is smaller than the sum of its proper divisors (9166760).

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

8101792 is a wasteful number, since it uses less digits than its factorization.

8101792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 8101792 is about 2846.3646990504. The cubic root of 8101792 is about 200.8446941036.

The spelling of 8101792 in words is "eight million, one hundred one thousand, seven hundred ninety-two".