87706080 has 432 divisors, whose sum is σ = 383174064. Its totient is φ = 18063360.

The previous prime is 87706057. The next prime is 87706127. The reversal of 87706080 is 8060778.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 776104 + ... + 776216.

It is an arithmetic number, because the mean of its divisors is an integer number (886977).

Almost surely, 2^87706080 is an apocalyptic number.

87706080 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 87706080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191587032).

87706080 is an abundant number, since it is smaller than the sum of its proper divisors (295467984).

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

87706080 is a wasteful number, since it uses less digits than its factorization.

87706080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 87706080 is about 9365.1524280174. The cubic root of 87706080 is about 444.3002595255.

The spelling of 87706080 in words is "eighty-seven million, seven hundred six thousand, eighty".