781949952 has 528 divisors, whose sum is σ = 2942963712. Its totient is φ = 194641920.

The previous prime is 781949947. The next prime is 781949953. The reversal of 781949952 is 259949187.

It is a super-2 number, since 2×781949952² = 1222891454865604608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (781949953) 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 47 ways as a sum of consecutive naturals, for example, 25224177 + ... + 25224207.

Almost surely, 2^781949952 is an apocalyptic number.

781949952 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 781949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471481856).

781949952 is an abundant number, since it is smaller than the sum of its proper divisors (2161013760).

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

781949952 is a wasteful number, since it uses less digits than its factorization.

781949952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 781949952 is about 27963.3680374879. The cubic root of 781949952 is about 921.2828480463.

The spelling of 781949952 in words is "seven hundred eighty-one million, nine hundred forty-nine thousand, nine hundred fifty-two".