782072566087680 has 1024 divisors, whose sum is σ = 3217140790041600. Its totient is φ = 178758870368256.

The previous prime is 782072566087663. The next prime is 782072566087699. The reversal of 782072566087680 is 86780665270287.

782072566087680 is a `hidden beast` number, since 7 + 8 + 2 + 0 + 7 + 2 + 5 + 6 + 608 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×782072566087680² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 782072566087599 and 782072566087608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2508070659 + ... + 2508382461.

It is an arithmetic number, because the mean of its divisors is an integer number (3141739052775).

Almost surely, 2^{782072566087680} is an apocalyptic number.

782072566087680 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 782072566087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608570395020800).

782072566087680 is an abundant number, since it is smaller than the sum of its proper divisors (2435068223953920).

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

782072566087680 is an frugal number, since it uses more digits than its factorization.

782072566087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311866 (or 311820 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 782072566087680 in words is "seven hundred eighty-two trillion, seventy-two billion, five hundred sixty-six million, eighty-seven thousand, six hundred eighty".