781413120 has 216 divisors, whose sum is σ = 2798031600. Its totient is φ = 201105408.

The previous prime is 781413107. The next prime is 781413121. The reversal of 781413120 is 21314187.

It is a super-2 number, since 2×781413120² = 1221212928216268800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (781413121) 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 23 ways as a sum of consecutive naturals, for example, 332911 + ... + 335249.

It is an arithmetic number, because the mean of its divisors is an integer number (12953850).

Almost surely, 2^781413120 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 781413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399015800).

781413120 is an abundant number, since it is smaller than the sum of its proper divisors (2016618480).

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

781413120 is a wasteful number, since it uses less digits than its factorization.

781413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 781413120 is about 27953.7675457173. The cubic root of 781413120 is about 921.0719703826.

The spelling of 781413120 in words is "seven hundred eighty-one million, four hundred thirteen thousand, one hundred twenty".