782872896 has 168 divisors, whose sum is σ = 2342692800. Its totient is φ = 230191104.

The previous prime is 782872879. The next prime is 782872897. The reversal of 782872896 is 698278287.

It is a super-2 number, since 2×782872896² = 1225779942582853632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782872897) 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, 745780 + ... + 746828.

It is an arithmetic number, because the mean of its divisors is an integer number (13944600).

Almost surely, 2^782872896 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 782872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171346400).

782872896 is an abundant number, since it is smaller than the sum of its proper divisors (1559819904).

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

782872896 is a wasteful number, since it uses less digits than its factorization.

782872896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1090 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 57.

The square root of 782872896 is about 27979.8659038960. The cubic root of 782872896 is about 921.6451722409.

The spelling of 782872896 in words is "seven hundred eighty-two million, eight hundred seventy-two thousand, eight hundred ninety-six".