78820245504 has 1024 divisors, whose sum is σ = 317084544000. Its totient is φ = 18685624320.

The previous prime is 78820245503. The next prime is 78820245521. The reversal of 78820245504 is 40554202887.

78820245504 is a `hidden beast` number, since 7 + 88 + 20 + 2 + 45 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×78820245504² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78820245504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78820245503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 885620692 + ... + 885620780.

It is an arithmetic number, because the mean of its divisors is an integer number (309652875).

Almost surely, 2^78820245504 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 78820245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158542272000).

78820245504 is an abundant number, since it is smaller than the sum of its proper divisors (238264298496).

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

78820245504 is a wasteful number, since it uses less digits than its factorization.

78820245504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 78820245504 in words is "seventy-eight billion, eight hundred twenty million, two hundred forty-five thousand, five hundred four".