978211200 has 384 divisors, whose sum is σ = 3521203200. Its totient is φ = 237772800.

The previous prime is 978211177. The next prime is 978211207. The reversal of 978211200 is 2112879.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978211207) 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, 5654314 + ... + 5654486.

It is an arithmetic number, because the mean of its divisors is an integer number (9169800).

Almost surely, 2^978211200 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 978211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760601600).

978211200 is an abundant number, since it is smaller than the sum of its proper divisors (2542992000).

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

978211200 is a wasteful number, since it uses less digits than its factorization.

978211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 978211200 is about 31276.3680755934. The cubic root of 978211200 is about 992.6836685047.

The spelling of 978211200 in words is "nine hundred seventy-eight million, two hundred eleven thousand, two hundred".