8079577284240 has 1280 divisors, whose sum is σ = 36702496604160. Its totient is φ = 1583825633280.

The previous prime is 8079577284209. The next prime is 8079577284277. The reversal of 8079577284240 is 424827759708.

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 255 ways as a sum of consecutive naturals, for example, 279236814 + ... + 279265746.

It is an arithmetic number, because the mean of its divisors is an integer number (28673825472).

Almost surely, 2^{8079577284240} is an apocalyptic number.

8079577284240 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 8079577284240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18351248302080).

8079577284240 is an abundant number, since it is smaller than the sum of its proper divisors (28622919319920).

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

8079577284240 is a wasteful number, since it uses less digits than its factorization.

8079577284240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29069 (or 29057 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 8079577284240 in words is "eight trillion, seventy-nine billion, five hundred seventy-seven million, two hundred eighty-four thousand, two hundred forty".