804287772288 has 1536 divisors, whose sum is σ = 3250630656000. Its totient is φ = 184135680000.

The previous prime is 804287772263. The next prime is 804287772313. The reversal of 804287772288 is 882277782408.

804287772288 is a `hidden beast` number, since 8 + 0 + 4 + 287 + 7 + 72 + 288 = 666.

It is an interprime number because it is at equal distance from previous prime (804287772263) and next prime (804287772313).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5326409013 + ... + 5326409163.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296000).

Almost surely, 2^804287772288 is an apocalyptic number.

804287772288 is a gapful number since it is divisible by the number (88) 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 804287772288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625315328000).

804287772288 is an abundant number, since it is smaller than the sum of its proper divisors (2446342883712).

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

804287772288 is a wasteful number, since it uses less digits than its factorization.

804287772288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 44957696, while the sum is 63.

The spelling of 804287772288 in words is "eight hundred four billion, two hundred eighty-seven million, seven hundred seventy-two thousand, two hundred eighty-eight".