875497062400 has 459 divisors, whose sum is σ = 2361333324351. Its totient is φ = 321933803520.

The previous prime is 875497062371. The next prime is 875497062437. The reversal of 875497062400 is 4260794578.

The square root of 875497062400 is 935680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20478754816 + 855018307584 = 143104^2 + 924672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20360396779 + ... + 20360396821.

Almost surely, 2^875497062400 is an apocalyptic number.

875497062400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

875497062400 is the 935680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875497062400

875497062400 is an abundant number, since it is smaller than the sum of its proper divisors (1485836261951).

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

875497062400 is an frugal number, since it uses more digits than its factorization.

875497062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 875497062400 in words is "eight hundred seventy-five billion, four hundred ninety-seven million, sixty-two thousand, four hundred".