782235310472 has 324 divisors, whose sum is σ = 1952708180535. Its totient is φ = 292684392000.

The previous prime is 782235310471. The next prime is 782235310561. The reversal of 782235310472 is 274013532287.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 391117655236 + 391117655236 = 625394^2 + 625394^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=625394.

It is a super-2 number, since 2×782235310472² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (782235310471) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5971261847 + ... + 5971261977.

Almost surely, 2^782235310472 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 782235310472

782235310472 is an abundant number, since it is smaller than the sum of its proper divisors (1170472870063).

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

782235310472 is a wasteful number, since it uses less digits than its factorization.

782235310472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 782235310472 in words is "seven hundred eighty-two billion, two hundred thirty-five million, three hundred ten thousand, four hundred seventy-two".