978719400 has 144 divisors (see below), whose sum is σ = 3326974560. Its totient is φ = 257808000.

The previous prime is 978719389. The next prime is 978719419. The reversal of 978719400 is 4917879.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146125 + ... + 152675.

It is an arithmetic number, because the mean of its divisors is an integer number (23103990).

Almost surely, 2^978719400 is an apocalyptic number.

978719400 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 978719400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663487280).

978719400 is an abundant number, since it is smaller than the sum of its proper divisors (2348255160).

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

978719400 is a wasteful number, since it uses less digits than its factorization.

978719400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6644 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 978719400 is about 31284.4913655313. The cubic root of 978719400 is about 992.8555449880.

The spelling of 978719400 in words is "nine hundred seventy-eight million, seven hundred nineteen thousand, four hundred".