783868821120 has 1536 divisors, whose sum is σ = 3561888960000. Its totient is φ = 162732810240.

The previous prime is 783868821119. The next prime is 783868821181. The reversal of 783868821120 is 21128868387.

783868821120 is a `hidden beast` number, since 78 + 386 + 8 + 82 + 112 + 0 = 666.

It is a super-2 number, since 2×783868821120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 717171294 + ... + 717172386.

It is an arithmetic number, because the mean of its divisors is an integer number (2318938125).

Almost surely, 2^783868821120 is an apocalyptic number.

783868821120 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 783868821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780944480000).

783868821120 is an abundant number, since it is smaller than the sum of its proper divisors (2778020138880).

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

783868821120 is a wasteful number, since it uses less digits than its factorization.

783868821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 783868821120 in words is "seven hundred eighty-three billion, eight hundred sixty-eight million, eight hundred twenty-one thousand, one hundred twenty".