978337756872 has 768 divisors, whose sum is σ = 3535689830400. Its totient is φ = 246701998080.

The previous prime is 978337756871. The next prime is 978337756897. The reversal of 978337756872 is 278657733879.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 978337756872.

It is not an unprimeable number, because it can be changed into a prime (978337756871) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 452723472 + ... + 452725632.

It is an arithmetic number, because the mean of its divisors is an integer number (4603762800).

Almost surely, 2^978337756872 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 978337756872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767844915200).

978337756872 is an abundant number, since it is smaller than the sum of its proper divisors (2557352073528).

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

978337756872 is a wasteful number, since it uses less digits than its factorization.

978337756872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2312 counting only the distinct ones).

The product of its digits is 746807040, while the sum is 72.

The spelling of 978337756872 in words is "nine hundred seventy-eight billion, three hundred thirty-seven million, seven hundred fifty-six thousand, eight hundred seventy-two".