783198823680 has 2880 divisors, whose sum is σ = 3859204124160. Its totient is φ = 146767085568.

The previous prime is 783198823679. The next prime is 783198823711. The reversal of 783198823680 is 86328891387.

783198823680 is a `hidden beast` number, since 7 + 8 + 3 + 198 + 82 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×783198823680² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3047466112 + ... + 3047466368.

It is an arithmetic number, because the mean of its divisors is an integer number (1340001432).

Almost surely, 2^783198823680 is an apocalyptic number.

783198823680 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 783198823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929602062080).

783198823680 is an abundant number, since it is smaller than the sum of its proper divisors (3076005300480).

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

783198823680 is a wasteful number, since it uses less digits than its factorization.

783198823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 783198823680 in words is "seven hundred eighty-three billion, one hundred ninety-eight million, eight hundred twenty-three thousand, six hundred eighty".