801862479600 has 2160 divisors, whose sum is σ = 3541346196480. Its totient is φ = 153977241600.

The previous prime is 801862479529. The next prime is 801862479643. The reversal of 801862479600 is 6974268108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5853010732 + ... + 5853010868.

It is an arithmetic number, because the mean of its divisors is an integer number (1639512128).

Almost surely, 2^801862479600 is an apocalyptic number.

801862479600 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 801862479600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770673098240).

801862479600 is an abundant number, since it is smaller than the sum of its proper divisors (2739483716880).

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

801862479600 is a wasteful number, since it uses less digits than its factorization.

801862479600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 801862479600 in words is "eight hundred one billion, eight hundred sixty-two million, four hundred seventy-nine thousand, six hundred".