781284560 has 160 divisors (see below), whose sum is σ = 2210691840. Its totient is φ = 250822656.

The previous prime is 781284557. The next prime is 781284577. The reversal of 781284560 is 65482187.

It is a super-2 number, since 2×781284560² = 1220811127388787200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1031702 + ... + 1032458.

It is an arithmetic number, because the mean of its divisors is an integer number (13816824).

Almost surely, 2^781284560 is an apocalyptic number.

781284560 is a gapful number since it is divisible by the number (70) 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 781284560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105345920).

781284560 is an abundant number, since it is smaller than the sum of its proper divisors (1429407280).

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

781284560 is a wasteful number, since it uses less digits than its factorization.

781284560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 781284560 is about 27951.4679399848. The cubic root of 781284560 is about 921.0214552736.

The spelling of 781284560 in words is "seven hundred eighty-one million, two hundred eighty-four thousand, five hundred sixty".