782648464 has 60 divisors (see below), whose sum is σ = 1650184932. Its totient is φ = 359424000.

The previous prime is 782648453. The next prime is 782648479. The reversal of 782648464 is 464846287.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 272250000 + 510398464 = 16500^2 + 22592^2 .

It is a super-2 number, since 2×782648464² = 1225077236403118592, which contains 22 as substring.

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, 651064 + ... + 652264.

Almost surely, 2^782648464 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 782648464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825092466).

782648464 is an abundant number, since it is smaller than the sum of its proper divisors (867536468).

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

782648464 is a wasteful number, since it uses less digits than its factorization.

782648464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1457 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 49.

The square root of 782648464 is about 27975.8550182117. The cubic root of 782648464 is about 921.5570921964.

The spelling of 782648464 in words is "seven hundred eighty-two million, six hundred forty-eight thousand, four hundred sixty-four".