782742240 has 576 divisors, whose sum is σ = 3314787840. Its totient is φ = 164229120.

The previous prime is 782742211. The next prime is 782742241. The reversal of 782742240 is 42247287.

It is a super-2 number, since 2×782742240² = 1225370828560435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 782742195 and 782742204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782742241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11682687 + ... + 11682753.

It is an arithmetic number, because the mean of its divisors is an integer number (5754840).

Almost surely, 2^782742240 is an apocalyptic number.

782742240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 782742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657393920).

782742240 is an abundant number, since it is smaller than the sum of its proper divisors (2532045600).

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

782742240 is a wasteful number, since it uses less digits than its factorization.

782742240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 782742240 is about 27977.5309847027. The cubic root of 782742240 is about 921.5938973482.

The spelling of 782742240 in words is "seven hundred eighty-two million, seven hundred forty-two thousand, two hundred forty".