87203794000 has 80 divisors (see below), whose sum is σ = 211067897040. Its totient is φ = 34846924800.

The previous prime is 87203793979. The next prime is 87203794019. The reversal of 87203794000 is 49730278.

It can be written as a sum of positive squares in 8 ways, for example, as 1806590016 + 85397203984 = 42504^2 + 292228^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 2044896 + ... + 2087104.

It is an arithmetic number, because the mean of its divisors is an integer number (2638348713).

Almost surely, 2^87203794000 is an apocalyptic number.

87203794000 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 87203794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105533948520).

87203794000 is an abundant number, since it is smaller than the sum of its proper divisors (123864103040).

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

87203794000 is a wasteful number, since it uses less digits than its factorization.

87203794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43265 (or 43249 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 87203794000 in words is "eighty-seven billion, two hundred three million, seven hundred ninety-four thousand".