878532480 has 448 divisors, whose sum is σ = 3612146400. Its totient is φ = 200060928.

The previous prime is 878532433. The next prime is 878532491. The reversal of 878532480 is 84235878.

878532480 is a `hidden beast` number, since 8 + 78 + 532 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265786 + ... + 3266054.

Almost surely, 2^878532480 is an apocalyptic number.

878532480 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 878532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806073200).

878532480 is an abundant number, since it is smaller than the sum of its proper divisors (2733613920).

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

878532480 is an equidigital number, since it uses as much as digits as its factorization.

878532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 878532480 is about 29640.0485829561. The cubic root of 878532480 is about 957.7509852945.

The spelling of 878532480 in words is "eight hundred seventy-eight million, five hundred thirty-two thousand, four hundred eighty".