782050000 has 60 divisors (see below), whose sum is σ = 1894027212. Its totient is φ = 312800000.

The previous prime is 782049977. The next prime is 782050043. The reversal of 782050000 is 50287.

It can be written as a sum of positive squares in 6 ways, for example, as 386358336 + 395691664 = 19656^2 + 19892^2 .

It is a super-2 number, since 2×782050000² = 1223204405000000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42180 + ... + 57820.

Almost surely, 2^782050000 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 782050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947013606).

782050000 is an abundant number, since it is smaller than the sum of its proper divisors (1111977212).

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

782050000 is an equidigital number, since it uses as much as digits as its factorization.

782050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15674 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 782050000 is about 27965.1568921041. The cubic root of 782050000 is about 921.3221381038.

The spelling of 782050000 in words is "seven hundred eighty-two million, fifty thousand".