78002240544 has 120 divisors (see below), whose sum is σ = 229602595068. Its totient is φ = 25978060800.

The previous prime is 78002240521. The next prime is 78002240567. The reversal of 78002240544 is 44504220087.

78002240544 is a `hidden beast` number, since 78 + 0 + 0 + 2 + 2 + 40 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (78002240521) and next prime (78002240567).

It can be written as a sum of positive squares in 2 ways, for example, as 58961552400 + 19040688144 = 242820^2 + 137988^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 78002240499 and 78002240508.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3100464 + ... + 3125520.

Almost surely, 2^78002240544 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 78002240544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114801297534).

78002240544 is an abundant number, since it is smaller than the sum of its proper divisors (151600354524).

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

78002240544 is a wasteful number, since it uses less digits than its factorization.

78002240544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26280 (or 26263 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 78002240544 in words is "seventy-eight billion, two million, two hundred forty thousand, five hundred forty-four".