87120007920 has 320 divisors, whose sum is σ = 327829017600. Its totient is φ = 21089756160.

The previous prime is 87120007907. The next prime is 87120007937. The reversal of 87120007920 is 2970002178.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19694829 + ... + 19699251.

It is an arithmetic number, because the mean of its divisors is an integer number (1024465680).

Almost surely, 2^87120007920 is an apocalyptic number.

87120007920 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 87120007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163914508800).

87120007920 is an abundant number, since it is smaller than the sum of its proper divisors (240709009680).

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

87120007920 is a wasteful number, since it uses less digits than its factorization.

87120007920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 87120007920 in words is "eighty-seven billion, one hundred twenty million, seven thousand, nine hundred twenty".