8087675904 has 704 divisors, whose sum is σ = 31127500800. Its totient is φ = 2012774400.

The previous prime is 8087675887. The next prime is 8087675951. The reversal of 8087675904 is 4095767808.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61737919 + ... + 61738049.

It is an arithmetic number, because the mean of its divisors is an integer number (44215200).

Almost surely, 2^8087675904 is an apocalyptic number.

8087675904 is a gapful number since it is divisible by the number (84) 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 8087675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15563750400).

8087675904 is an abundant number, since it is smaller than the sum of its proper divisors (23039824896).

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

8087675904 is a wasteful number, since it uses less digits than its factorization.

8087675904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 8087675904 is about 89931.5067370719. The cubic root of 8087675904 is about 2007.2797954726.

The spelling of 8087675904 in words is "eight billion, eighty-seven million, six hundred seventy-five thousand, nine hundred four".