782629650 has 144 divisors (see below), whose sum is σ = 2307352320. Its totient is φ = 188611200.

The previous prime is 782629643. The next prime is 782629651. The reversal of 782629650 is 56926287.

It is a super-2 number, since 2×782629650² = 1225018338118245000, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 782629596 and 782629605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782629651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1103496 + ... + 1104204.

It is an arithmetic number, because the mean of its divisors is an integer number (16023280).

Almost surely, 2^782629650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 782629650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153676160).

782629650 is an abundant number, since it is smaller than the sum of its proper divisors (1524722670).

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

782629650 is a wasteful number, since it uses less digits than its factorization.

782629650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 782629650 is about 27975.5187619461. The cubic root of 782629650 is about 921.5497077342.

The spelling of 782629650 in words is "seven hundred eighty-two million, six hundred twenty-nine thousand, six hundred fifty".