801273863877120 has 240 divisors, whose sum is σ = 2775745521240120. Its totient is φ = 213618456133632.

The previous prime is 801273863877107. The next prime is 801273863877131. The reversal of 801273863877120 is 21778368372108.

801273863877120 is a `hidden beast` number, since 8 + 0 + 127 + 3 + 8 + 6 + 387 + 7 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 732895782914304 + 68378080962816 = 27072048^2 + 8269104^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×801273863877120⁴ (a number of 61 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85808376 + ... + 94686984.

Almost surely, 2^{801273863877120} is an apocalyptic number.

801273863877120 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 801273863877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387872760620060).

801273863877120 is an abundant number, since it is smaller than the sum of its proper divisors (1974471657363000).

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

801273863877120 is a wasteful number, since it uses less digits than its factorization.

801273863877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8882555 (or 8882536 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 801273863877120 in words is "eight hundred one trillion, two hundred seventy-three billion, eight hundred sixty-three million, eight hundred seventy-seven thousand, one hundred twenty".