782307072 has 180 divisors, whose sum is σ = 2409925056. Its totient is φ = 252149760.

The previous prime is 782307047. The next prime is 782307077. The reversal of 782307072 is 270703287.

It is a super-2 number, since 2×782307072² = 1224008709802426368, 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 not an unprimeable number, because it can be changed into a prime (782307077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 642208 + ... + 643424.

Almost surely, 2^782307072 is an apocalyptic number.

782307072 is a gapful number since it is divisible by the number (72) 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 782307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204962528).

782307072 is an abundant number, since it is smaller than the sum of its proper divisors (1627617984).

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

782307072 is a wasteful number, since it uses less digits than its factorization.

782307072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 782307072 is about 27969.7528054861. The cubic root of 782307072 is about 921.4230780172.

The spelling of 782307072 in words is "seven hundred eighty-two million, three hundred seven thousand, seventy-two".