287678760 has 128 divisors (see below), whose sum is σ = 943488000. Its totient is φ = 69857280.

The previous prime is 287678711. The next prime is 287678761. The reversal of 287678760 is 67876782.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (287678761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60966 + ... + 65514.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2^287678760 is an apocalyptic number.

287678760 is a gapful number since it is divisible by the number (20) 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 287678760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744000).

287678760 is an abundant number, since it is smaller than the sum of its proper divisors (655809240).

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

287678760 is a wasteful number, since it uses less digits than its factorization.

287678760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4611 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The square root of 287678760 is about 16961.0954834881. The cubic root of 287678760 is about 660.1398234520.

The spelling of 287678760 in words is "two hundred eighty-seven million, six hundred seventy-eight thousand, seven hundred sixty".