78272576258040 has 384 divisors, whose sum is σ = 266088745128960. Its totient is φ = 19916890785792.

The previous prime is 78272576258027. The next prime is 78272576258099. The reversal of 78272576258040 is 4085267527287.

78272576258040 is a `hidden beast` number, since 7 + 8 + 2 + 7 + 2 + 5 + 7 + 6 + 2 + 580 + 40 = 666.

It is a Cunningham number, because it is equal to 8847179²-1.

It is a super-2 number, since 2×78272576258040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9678810877 + ... + 9678818963.

It is an arithmetic number, because the mean of its divisors is an integer number (692939440440).

Almost surely, 2^{78272576258040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78272576258040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133044372564480).

78272576258040 is an abundant number, since it is smaller than the sum of its proper divisors (187816168870920).

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

78272576258040 is a wasteful number, since it uses less digits than its factorization.

78272576258040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10811 (or 10804 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 78272576258040 in words is "seventy-eight trillion, two hundred seventy-two billion, five hundred seventy-six million, two hundred fifty-eight thousand, forty".