781312032 has 72 divisors (see below), whose sum is σ = 2231349120. Its totient is φ = 259324800.

The previous prime is 781311983. The next prime is 781312033. The reversal of 781312032 is 230213187.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×781312032² = 1220896982695938048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 781311987 and 781312005.

It is not an unprimeable number, because it can be changed into a prime (781312033) by changing a digit.

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, 63157 + ... + 74507.

It is an arithmetic number, because the mean of its divisors is an integer number (30990960).

Almost surely, 2^781312032 is an apocalyptic number.

781312032 is a gapful number since it is divisible by the number (72) 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 781312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115674560).

781312032 is an abundant number, since it is smaller than the sum of its proper divisors (1450037088).

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

781312032 is a wasteful number, since it uses less digits than its factorization.

781312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11606 (or 11595 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 781312032 is about 27951.9593588714. The cubic root of 781312032 is about 921.0322503181.

The spelling of 781312032 in words is "seven hundred eighty-one million, three hundred twelve thousand, thirty-two".