801270734976 has 384 divisors, whose sum is σ = 2492840750400. Its totient is φ = 255873945600.

The previous prime is 801270734963. The next prime is 801270735011. The reversal of 801270734976 is 679437072108.

801270734976 is a `hidden beast` number, since 8 + 0 + 12 + 70 + 73 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×801270734976³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118160706 + ... + 118167486.

Almost surely, 2^801270734976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801270734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246420375200).

801270734976 is an abundant number, since it is smaller than the sum of its proper divisors (1691570015424).

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

801270734976 is a wasteful number, since it uses less digits than its factorization.

801270734976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6970 (or 6946 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 801270734976 in words is "eight hundred one billion, two hundred seventy million, seven hundred thirty-four thousand, nine hundred seventy-six".