978754269780 has 768 divisors, whose sum is σ = 3845947392000. Its totient is φ = 201600576000.

The previous prime is 978754269733. The next prime is 978754269803. The reversal of 978754269780 is 87962457879.

978754269780 is a `hidden beast` number, since 9 + 7 + 8 + 7 + 542 + 6 + 9 + 78 + 0 = 666.

978754269780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×978754269780² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 978754269699 and 978754269708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 131355055 + ... + 131362505.

It is an arithmetic number, because the mean of its divisors is an integer number (5007744000).

Almost surely, 2^978754269780 is an apocalyptic number.

978754269780 is a gapful number since it is divisible by the number (90) 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 978754269780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922973696000).

978754269780 is an abundant number, since it is smaller than the sum of its proper divisors (2867193122220).

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

978754269780 is a wasteful number, since it uses less digits than its factorization.

978754269780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 978754269780 in words is "nine hundred seventy-eight billion, seven hundred fifty-four million, two hundred sixty-nine thousand, seven hundred eighty".