782212608768 has 288 divisors, whose sum is σ = 2229029420800. Its totient is φ = 242796331008.

The previous prime is 782212608689. The next prime is 782212608823. The reversal of 782212608768 is 867806212287.

It is a super-2 number, since 2×782212608768² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358976703 + ... + 358978881.

Almost surely, 2^782212608768 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 782212608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114514710400).

782212608768 is an abundant number, since it is smaller than the sum of its proper divisors (1446816812032).

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

782212608768 is a wasteful number, since it uses less digits than its factorization.

782212608768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 782212608768 in words is "seven hundred eighty-two billion, two hundred twelve million, six hundred eight thousand, seven hundred sixty-eight".