978784800 has 576 divisors, whose sum is σ = 3937248000. Its totient is φ = 210739200.

The previous prime is 978784787. The next prime is 978784801. The reversal of 978784800 is 8487879.

It is a super-2 number, since 2×978784800² = 1916039369422080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (978784801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23872780 + ... + 23872820.

It is an arithmetic number, because the mean of its divisors is an integer number (6835500).

Almost surely, 2^978784800 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 978784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968624000).

978784800 is an abundant number, since it is smaller than the sum of its proper divisors (2958463200).

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

978784800 is a wasteful number, since it uses less digits than its factorization.

978784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 978784800 is about 31285.5365944073. The cubic root of 978784800 is about 992.8776593639.

The spelling of 978784800 in words is "nine hundred seventy-eight million, seven hundred eighty-four thousand, eight hundred".