87838732800 has 2400 divisors, whose sum is σ = 429774576000. Its totient is φ = 17557585920.

The previous prime is 87838732783. The next prime is 87838732801. The reversal of 87838732800 is 823783878.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87838732801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4623091191 + ... + 4623091209.

It is an arithmetic number, because the mean of its divisors is an integer number (179072740).

Almost surely, 2^87838732800 is an apocalyptic number.

87838732800 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 87838732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214887288000).

87838732800 is an abundant number, since it is smaller than the sum of its proper divisors (341935843200).

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

87838732800 is a wasteful number, since it uses less digits than its factorization.

87838732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 87838732800 in words is "eighty-seven billion, eight hundred thirty-eight million, seven hundred thirty-two thousand, eight hundred".