872752742400 has 864 divisors, whose sum is σ = 3601115013888. Its totient is φ = 181193932800.

The previous prime is 872752742383. The next prime is 872752742429. The reversal of 872752742400 is 4247257278.

It is a happy number.

It is a super-3 number, since 3×872752742400³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 872752742400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756940224 + ... + 756941376.

It is an arithmetic number, because the mean of its divisors is an integer number (4167957192).

Almost surely, 2^872752742400 is an apocalyptic number.

872752742400 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 872752742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800557506944).

872752742400 is an abundant number, since it is smaller than the sum of its proper divisors (2728362271488).

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

872752742400 is a wasteful number, since it uses less digits than its factorization.

872752742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 48.

Adding to 872752742400 its reverse (4247257278), we get a palindrome (876999999678).

The spelling of 872752742400 in words is "eight hundred seventy-two billion, seven hundred fifty-two million, seven hundred forty-two thousand, four hundred".