78980945472 has 336 divisors, whose sum is σ = 266506269120. Its totient is φ = 22047436800.

The previous prime is 78980945471. The next prime is 78980945497. The reversal of 78980945472 is 27454908987.

78980945472 is a `hidden beast` number, since 7 + 8 + 9 + 80 + 9 + 4 + 547 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (78980945471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77507779 + ... + 77508797.

It is an arithmetic number, because the mean of its divisors is an integer number (793173420).

Almost surely, 2^78980945472 is an apocalyptic number.

78980945472 is a gapful number since it is divisible by the number (72) 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 78980945472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133253134560).

78980945472 is an abundant number, since it is smaller than the sum of its proper divisors (187525323648).

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

78980945472 is a wasteful number, since it uses less digits than its factorization.

78980945472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 78980945472 in words is "seventy-eight billion, nine hundred eighty million, nine hundred forty-five thousand, four hundred seventy-two".