87882480 has 360 divisors, whose sum is σ = 357244992. Its totient is φ = 19289088.

The previous prime is 87882463. The next prime is 87882481. The reversal of 87882480 is 8428878.

It is a tau number, because it is divible by the number of its divisors (360).

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 (87882481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1658134 + ... + 1658186.

Almost surely, 2^87882480 is an apocalyptic number.

87882480 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 87882480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178622496).

87882480 is an abundant number, since it is smaller than the sum of its proper divisors (269362512).

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

87882480 is a wasteful number, since it uses less digits than its factorization.

87882480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 87882480 is about 9374.5655899354. The cubic root of 87882480 is about 444.5979282863.

The spelling of 87882480 in words is "eighty-seven million, eight hundred eighty-two thousand, four hundred eighty".