78872532480 has 720 divisors, whose sum is σ = 334569858480. Its totient is φ = 17074520064.

The previous prime is 78872532433. The next prime is 78872532509. The reversal of 78872532480 is 8423527887.

78872532480 is a `hidden beast` number, since 78 + 87 + 253 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21448402 + ... + 21452078.

It is an arithmetic number, because the mean of its divisors is an integer number (464680359).

Almost surely, 2^78872532480 is an apocalyptic number.

78872532480 is a gapful number since it is divisible by the number (70) 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 78872532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167284929240).

78872532480 is an abundant number, since it is smaller than the sum of its proper divisors (255697326000).

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

78872532480 is a wasteful number, since it uses less digits than its factorization.

78872532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 78872532480 in words is "seventy-eight billion, eight hundred seventy-two million, five hundred thirty-two thousand, four hundred eighty".