782000640 has 120 divisors (see below), whose sum is σ = 2708367948. Its totient is φ = 208527360.

The previous prime is 782000533. The next prime is 782000671. The reversal of 782000640 is 46000287.

It can be written as a sum of positive squares in 2 ways, for example, as 777740544 + 4260096 = 27888^2 + 2064^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×782000640² = 1223050001920819200, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6070 + ... + 40010.

Almost surely, 2^782000640 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 782000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354183974).

782000640 is an abundant number, since it is smaller than the sum of its proper divisors (1926367308).

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

782000640 is a wasteful number, since it uses less digits than its factorization.

782000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33970 (or 33951 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 782000640 is about 27964.2743513934. The cubic root of 782000640 is about 921.3027542547.

The spelling of 782000640 in words is "seven hundred eighty-two million, six hundred forty", and thus it is an aban number.