87607800000 has 1008 divisors, whose sum is σ = 380737506240. Its totient is φ = 18800640000.

The previous prime is 87607799987. The next prime is 87607800001. The reversal of 87607800000 is 870678.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87607800001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 214199796 + ... + 214200204.

It is an arithmetic number, because the mean of its divisors is an integer number (377715780).

Almost surely, 2^87607800000 is an apocalyptic number.

87607800000 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 87607800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190368753120).

87607800000 is an abundant number, since it is smaller than the sum of its proper divisors (293129706240).

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

87607800000 is a wasteful number, since it uses less digits than its factorization.

87607800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 87607800000 in words is "eighty-seven billion, six hundred seven million, eight hundred thousand".