781286968 has 192 divisors, whose sum is σ = 1964995200. Its totient is φ = 287642880.

The previous prime is 781286959. The next prime is 781286971. The reversal of 781286968 is 869682187.

It is a super-2 number, since 2×781286968² = 1220818652733266048, 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 47 ways as a sum of consecutive naturals, for example, 9413055 + ... + 9413137.

It is an arithmetic number, because the mean of its divisors is an integer number (10234350).

Almost surely, 2^781286968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 781286968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982497600).

781286968 is an abundant number, since it is smaller than the sum of its proper divisors (1183708232).

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

781286968 is a wasteful number, since it uses less digits than its factorization.

781286968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 55.

The square root of 781286968 is about 27951.5110146124. The cubic root of 781286968 is about 921.0224015005.

The spelling of 781286968 in words is "seven hundred eighty-one million, two hundred eighty-six thousand, nine hundred sixty-eight".