809272477440 has 720 divisors, whose sum is σ = 3398955924672. Its totient is φ = 179971227648.

The previous prime is 809272477373. The next prime is 809272477501. The reversal of 809272477440 is 44774272908.

809272477440 is a `hidden beast` number, since 8 + 0 + 92 + 72 + 47 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26838052 + ... + 26868188.

Almost surely, 2^809272477440 is an apocalyptic number.

809272477440 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 809272477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699477962336).

809272477440 is an abundant number, since it is smaller than the sum of its proper divisors (2589683447232).

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

809272477440 is a wasteful number, since it uses less digits than its factorization.

809272477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30214 (or 30191 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 809272477440 in words is "eight hundred nine billion, two hundred seventy-two million, four hundred seventy-seven thousand, four hundred forty".