783206388036072 has 3072 divisors, whose sum is σ = 3122441080012800. Its totient is φ = 177386485248000.

The previous prime is 783206388036013. The next prime is 783206388036073. The reversal of 783206388036072 is 270630883602387.

It is a happy number.

783206388036072 is a `hidden beast` number, since 7 + 83 + 20 + 6 + 38 + 80 + 360 + 72 = 666.

It is a super-2 number, since 2×783206388036072² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (783206388036073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 458283432754 + ... + 458283434462.

It is an arithmetic number, because the mean of its divisors is an integer number (1016419622400).

Almost surely, 2^{783206388036072} is an apocalyptic number.

783206388036072 is a gapful number since it is divisible by the number (72) 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 783206388036072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561220540006400).

783206388036072 is an abundant number, since it is smaller than the sum of its proper divisors (2339234691976728).

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

783206388036072 is a wasteful number, since it uses less digits than its factorization.

783206388036072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 783206388036072 in words is "seven hundred eighty-three trillion, two hundred six billion, three hundred eighty-eight million, thirty-six thousand, seventy-two".