781814016 has 108 divisors (see below), whose sum is σ = 2332091580. Its totient is φ = 251596800.

The previous prime is 781814009. The next prime is 781814021. The reversal of 781814016 is 610418187.

781814016 is a `hidden beast` number, since 78 + 181 + 401 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 515471616 + 266342400 = 22704^2 + 16320^2 .

It is a super-2 number, since 2×781814016² = 1222466311228096512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60966 + ... + 72666.

Almost surely, 2^781814016 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 781814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166045790).

781814016 is an abundant number, since it is smaller than the sum of its proper divisors (1550277564).

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

781814016 is a wasteful number, since it uses less digits than its factorization.

781814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11752 (or 11735 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 781814016 is about 27960.9373233445. The cubic root of 781814016 is about 921.2294589675.

The spelling of 781814016 in words is "seven hundred eighty-one million, eight hundred fourteen thousand, sixteen".