87845760 has 192 divisors, whose sum is σ = 308374560. Its totient is φ = 23040000.

The previous prime is 87845729. The next prime is 87845761. The reversal of 87845760 is 6754878.

87845760 is a `hidden beast` number, since 8 + 78 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (87845761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581685 + ... + 581835.

Almost surely, 2^87845760 is an apocalyptic number.

87845760 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 87845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154187280).

87845760 is an abundant number, since it is smaller than the sum of its proper divisors (220528800).

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

87845760 is a wasteful number, since it uses less digits than its factorization.

87845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 87845760 is about 9372.6068945625. The cubic root of 87845760 is about 444.5359974356.

The spelling of 87845760 in words is "eighty-seven million, eight hundred forty-five thousand, seven hundred sixty".