801115392000 has 3072 divisors, whose sum is σ = 3767913676800. Its totient is φ = 145981440000.

The previous prime is 801115391963. The next prime is 801115392001. The reversal of 801115392000 is 293511108.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (801115392001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25842431985 + ... + 25842432015.

It is an arithmetic number, because the mean of its divisors is an integer number (1226534400).

Almost surely, 2^801115392000 is an apocalyptic number.

801115392000 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 801115392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883956838400).

801115392000 is an abundant number, since it is smaller than the sum of its proper divisors (2966798284800).

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

801115392000 is a wasteful number, since it uses less digits than its factorization.

801115392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 801115392000 in words is "eight hundred one billion, one hundred fifteen million, three hundred ninety-two thousand".