782980352 has 216 divisors, whose sum is σ = 2061725568. Its totient is φ = 289935360.

The previous prime is 782980313. The next prime is 782980357. The reversal of 782980352 is 253089287.

It is a super-2 number, since 2×782980352² = 1226116463236087808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782980357) 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, 4987058 + ... + 4987214.

Almost surely, 2^782980352 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 782980352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030862784).

782980352 is an abundant number, since it is smaller than the sum of its proper divisors (1278745216).

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

782980352 is a wasteful number, since it uses less digits than its factorization.

782980352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 782980352 is about 27981.7860759459. The cubic root of 782980352 is about 921.6873382056.

The spelling of 782980352 in words is "seven hundred eighty-two million, nine hundred eighty thousand, three hundred fifty-two".