87073977600 has 324 divisors, whose sum is σ = 312201017856. Its totient is φ = 23153233920.

The previous prime is 87073977583. The next prime is 87073977607. The reversal of 87073977600 is 677937078.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87073977607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22058827 + ... + 22062773.

Almost surely, 2^87073977600 is an apocalyptic number.

87073977600 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 87073977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156100508928).

87073977600 is an abundant number, since it is smaller than the sum of its proper divisors (225127040256).

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

87073977600 is a wasteful number, since it uses less digits than its factorization.

87073977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 87073977600 in words is "eighty-seven billion, seventy-three million, nine hundred seventy-seven thousand, six hundred".