781816896 has 168 divisors, whose sum is σ = 2588768000. Its totient is φ = 220962816.

The previous prime is 781816891. The next prime is 781816957. The reversal of 781816896 is 698618187.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×781816896² = 1222475317742149632, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (781816891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390105 + ... + 392103.

Almost surely, 2^781816896 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 781816896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294384000).

781816896 is an abundant number, since it is smaller than the sum of its proper divisors (1806951104).

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

781816896 is a wasteful number, since it uses less digits than its factorization.

781816896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2108 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 781816896 is about 27960.9888237165. The cubic root of 781816896 is about 921.2305901562.

The spelling of 781816896 in words is "seven hundred eighty-one million, eight hundred sixteen thousand, eight hundred ninety-six".