827764953120 has 1152 divisors, whose sum is σ = 3513549312000. Its totient is φ = 173228875776.

The previous prime is 827764953097. The next prime is 827764953137. The reversal of 827764953120 is 21359467728.

It is a happy number.

827764953120 is a `hidden beast` number, since 8 + 27 + 7 + 6 + 495 + 3 + 120 = 666.

It is a super-2 number, since 2×827764953120² (a number of 25 digits) contains 22 as substring.

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, 1410161467 + ... + 1410162053.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956000).

It is a 1-persistent number, because it is pandigital, but 2⋅827764953120 = 1655529906240 is not.

Almost surely, 2^827764953120 is an apocalyptic number.

827764953120 is a gapful number since it is divisible by the number (80) 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 827764953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756774656000).

827764953120 is an abundant number, since it is smaller than the sum of its proper divisors (2685784358880).

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

827764953120 is a wasteful number, since it uses less digits than its factorization.

827764953120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 827764953120 in words is "eight hundred twenty-seven billion, seven hundred sixty-four million, nine hundred fifty-three thousand, one hundred twenty".