802274778144 has 288 divisors, whose sum is σ = 2795576837760. Its totient is φ = 223025757696.

The previous prime is 802274778133. The next prime is 802274778163. The reversal of 802274778144 is 441877472208.

802274778144 is a `hidden beast` number, since 8 + 0 + 2 + 27 + 477 + 8 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1310349 + ... + 1822515.

It is an arithmetic number, because the mean of its divisors is an integer number (9706864020).

Almost surely, 2^802274778144 is an apocalyptic number.

802274778144 is a gapful number since it is divisible by the number (84) 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 802274778144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397788418880).

802274778144 is an abundant number, since it is smaller than the sum of its proper divisors (1993302059616).

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

802274778144 is a wasteful number, since it uses less digits than its factorization.

802274778144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512237 (or 512216 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 802274778144 in words is "eight hundred two billion, two hundred seventy-four million, seven hundred seventy-eight thousand, one hundred forty-four".