287797680 has 60 divisors (see below), whose sum is σ = 966522960. Its totient is φ = 76745856.

The previous prime is 287797673. The next prime is 287797687. The reversal of 287797680 is 86797782.

287797680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (287797673) and next prime (287797687).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×287797680² = 165655009226764800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (287797687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199140 + ... + 200579.

It is an arithmetic number, because the mean of its divisors is an integer number (16108716).

Almost surely, 2^287797680 is an apocalyptic number.

287797680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287797680 is an abundant number, since it is smaller than the sum of its proper divisors (678725280).

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

287797680 is a wasteful number, since it uses less digits than its factorization.

287797680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399738 (or 399729 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 287797680 is about 16964.6007910590. The cubic root of 287797680 is about 660.2307732937.

The spelling of 287797680 in words is "two hundred eighty-seven million, seven hundred ninety-seven thousand, six hundred eighty".