87377443200 has 1536 divisors, whose sum is σ = 371547648000. Its totient is φ = 19906560000.

The previous prime is 87377443193. The next prime is 87377443201. The reversal of 87377443200 is 234477378.

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 (87377443201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 865123150 + ... + 865123250.

It is an arithmetic number, because the mean of its divisors is an integer number (241893000).

Almost surely, 2^87377443200 is an apocalyptic number.

87377443200 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 87377443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185773824000).

87377443200 is an abundant number, since it is smaller than the sum of its proper divisors (284170204800).

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

87377443200 is a wasteful number, since it uses less digits than its factorization.

87377443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 87377443200 in words is "eighty-seven billion, three hundred seventy-seven million, four hundred forty-three thousand, two hundred".