87378480 has 160 divisors (see below), whose sum is σ = 344025600. Its totient is φ = 19968768.

The previous prime is 87378439. The next prime is 87378481. The reversal of 87378480 is 8487378.

It is a super-2 number, since 2×87378480² = 15269997534220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (87378481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12231 + ... + 18009.

It is an arithmetic number, because the mean of its divisors is an integer number (2150160).

Almost surely, 2^87378480 is an apocalyptic number.

87378480 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 87378480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172012800).

87378480 is an abundant number, since it is smaller than the sum of its proper divisors (256647120).

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

87378480 is a wasteful number, since it uses less digits than its factorization.

87378480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 87378480 is about 9347.6456929004. The cubic root of 87378480 is about 443.7463854761.

The spelling of 87378480 in words is "eighty-seven million, three hundred seventy-eight thousand, four hundred eighty".