783226080 has 576 divisors, whose sum is σ = 3390266880. Its totient is φ = 160247808.

The previous prime is 783226051. The next prime is 783226117. The reversal of 783226080 is 80622387.

It is a happy number.

783226080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×783226080² = 1226886184784332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5634651 + ... + 5634789.

It is an arithmetic number, because the mean of its divisors is an integer number (5885880).

Almost surely, 2^783226080 is an apocalyptic number.

783226080 is a gapful number since it is divisible by the number (70) 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 783226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695133440).

783226080 is an abundant number, since it is smaller than the sum of its proper divisors (2607040800).

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

783226080 is a wasteful number, since it uses less digits than its factorization.

783226080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 783226080 is about 27986.1765877370. The cubic root of 783226080 is about 921.7837479034.

The spelling of 783226080 in words is "seven hundred eighty-three million, two hundred twenty-six thousand, eighty".