870412762800 has 720 divisors, whose sum is σ = 3593522499840. Its totient is φ = 190886492160.

The previous prime is 870412762757. The next prime is 870412762811. The reversal of 870412762800 is 8267214078.

870412762800 is a `hidden beast` number, since 8 + 7 + 0 + 4 + 12 + 7 + 628 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119116747 + ... + 119124053.

It is an arithmetic number, because the mean of its divisors is an integer number (4991003472).

Almost surely, 2^870412762800 is an apocalyptic number.

870412762800 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 870412762800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796761249920).

870412762800 is an abundant number, since it is smaller than the sum of its proper divisors (2723109737040).

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

870412762800 is a wasteful number, since it uses less digits than its factorization.

870412762800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7530 (or 7516 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

Adding to 870412762800 its reverse (8267214078), we get a palindrome (878679976878).

The spelling of 870412762800 in words is "eight hundred seventy billion, four hundred twelve million, seven hundred sixty-two thousand, eight hundred".