782138880 has 240 divisors, whose sum is σ = 2748105360. Its totient is φ = 205553664.

The previous prime is 782138867. The next prime is 782138939. The reversal of 782138880 is 88831287.

It is a happy number.

782138880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×782138880² = 1223482455215308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1912116 + ... + 1912524.

It is an arithmetic number, because the mean of its divisors is an integer number (11450439).

Almost surely, 2^782138880 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 782138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374052680).

782138880 is an abundant number, since it is smaller than the sum of its proper divisors (1965966480).

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

782138880 is a wasteful number, since it uses less digits than its factorization.

782138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 782138880 is about 27966.7459673091. The cubic root of 782138880 is about 921.3570395422.

The spelling of 782138880 in words is "seven hundred eighty-two million, one hundred thirty-eight thousand, eight hundred eighty".