782076032 has 32 divisors (see below), whose sum is σ = 1568006220. Its totient is φ = 388537344.

The previous prime is 782076023. The next prime is 782076037. The reversal of 782076032 is 230670287.

It can be written as a sum of positive squares in 2 ways, for example, as 699919936 + 82156096 = 26456^2 + 9064^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×782076032² = 1223285839657730048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 782075983 and 782076001.

It is not an unprimeable number, because it can be changed into a prime (782076037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638 + ... + 39554.

Almost surely, 2^782076032 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 782076032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784003110).

782076032 is an abundant number, since it is smaller than the sum of its proper divisors (785930188).

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

782076032 is a wasteful number, since it uses less digits than its factorization.

782076032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39088 (or 39076 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 782076032 is about 27965.6223245613. The cubic root of 782076032 is about 921.3323606351.

The spelling of 782076032 in words is "seven hundred eighty-two million, seventy-six thousand, thirty-two".