782471040 has 512 divisors, whose sum is σ = 2961100800. Its totient is φ = 174096384.

The previous prime is 782471029. The next prime is 782471047. The reversal of 782471040 is 40174287.

It is a super-2 number, since 2×782471040² = 1224521856877363200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 782470992 and 782471010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782471047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16648297 + ... + 16648343.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2^782471040 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 782471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480550400).

782471040 is an abundant number, since it is smaller than the sum of its proper divisors (2178629760).

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

782471040 is a wasteful number, since it uses less digits than its factorization.

782471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 782471040 is about 27972.6838183253. The cubic root of 782471040 is about 921.4874488806.

The spelling of 782471040 in words is "seven hundred eighty-two million, four hundred seventy-one thousand, forty".