8165001600 has 576 divisors, whose sum is σ = 33710208480. Its totient is φ = 1843200000.

The previous prime is 8165001589. The next prime is 8165001617. The reversal of 8165001600 is 61005618.

8165001600 is a `hidden beast` number, since 8 + 1 + 6 + 50 + 0 + 1 + 600 = 666.

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

It is a super-2 number, since 2×8165001600² (a number of 21 digits) contains 22 as substring.

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, 20361400 + ... + 20361800.

Almost surely, 2^8165001600 is an apocalyptic number.

8165001600 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 8165001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855104240).

8165001600 is an abundant number, since it is smaller than the sum of its proper divisors (25545206880).

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

8165001600 is a wasteful number, since it uses less digits than its factorization.

8165001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8165001600 is about 90360.3984054962. The cubic root of 8165001600 is about 2013.6566687796.

The spelling of 8165001600 in words is "eight billion, one hundred sixty-five million, one thousand, six hundred".