79827078240 has 1152 divisors, whose sum is σ = 354912509952. Its totient is φ = 15885434880.

The previous prime is 79827078239. The next prime is 79827078281. The reversal of 79827078240 is 4287072897.

It is a congruent number.

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, 174676092 + ... + 174676548.

It is an arithmetic number, because the mean of its divisors is an integer number (308083776).

Almost surely, 2^79827078240 is an apocalyptic number.

79827078240 is a gapful number since it is divisible by the number (70) 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 79827078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177456254976).

79827078240 is an abundant number, since it is smaller than the sum of its proper divisors (275085431712).

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

79827078240 is a wasteful number, since it uses less digits than its factorization.

79827078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 79827078240 in words is "seventy-nine billion, eight hundred twenty-seven million, seventy-eight thousand, two hundred forty".