963978300 has 432 divisors, whose sum is σ = 3492276480. Its totient is φ = 227525760.

The previous prime is 963978287. The next prime is 963978311. The reversal of 963978300 is 3879369.

It is a happy number.

963978300 is a `hidden beast` number, since 9 + 639 + 7 + 8 + 3 + 0 + 0 = 666.

963978300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22418079 + ... + 22418121.

Almost surely, 2^963978300 is an apocalyptic number.

963978300 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 963978300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746138240).

963978300 is an abundant number, since it is smaller than the sum of its proper divisors (2528298180).

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

963978300 is a wasteful number, since it uses less digits than its factorization.

963978300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 963978300 is about 31047.9999355836. Note that the first 4 decimals coincide. The cubic root of 963978300 is about 987.8456366333.

The spelling of 963978300 in words is "nine hundred sixty-three million, nine hundred seventy-eight thousand, three hundred".