87800094720 has 896 divisors, whose sum is σ = 348777031680. Its totient is φ = 20808990720.

The previous prime is 87800094713. The next prime is 87800094737. The reversal of 87800094720 is 2749000878.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445685662 + ... + 445685858.

It is an arithmetic number, because the mean of its divisors is an integer number (389260080).

Almost surely, 2^87800094720 is an apocalyptic number.

87800094720 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 87800094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174388515840).

87800094720 is an abundant number, since it is smaller than the sum of its proper divisors (260976936960).

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

87800094720 is a wasteful number, since it uses less digits than its factorization.

87800094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 87800094720 in words is "eighty-seven billion, eight hundred million, ninety-four thousand, seven hundred twenty".