87206284800 has 1080 divisors, whose sum is σ = 344712952584. Its totient is φ = 21824225280.

The previous prime is 87206284787. The next prime is 87206284807. The reversal of 87206284800 is 848260278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×87206284800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87206284807) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1645401574 + ... + 1645401626.

Almost surely, 2^87206284800 is an apocalyptic number.

87206284800 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 87206284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172356476292).

87206284800 is an abundant number, since it is smaller than the sum of its proper divisors (257506667784).

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

87206284800 is an equidigital number, since it uses as much as digits as its factorization.

87206284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 87206284800 in words is "eighty-seven billion, two hundred six million, two hundred eighty-four thousand, eight hundred".