979776000 has 640 divisors, whose sum is σ = 4187589120. Its totient is φ = 223948800.

The previous prime is 979775981. The next prime is 979776001. The reversal of 979776000 is 677979.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×979776000² = 1919922020352000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979776001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139967997 + ... + 139968003.

It is an arithmetic number, because the mean of its divisors is an integer number (6543108).

Almost surely, 2^979776000 is an apocalyptic number.

979776000 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 979776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093794560).

979776000 is an abundant number, since it is smaller than the sum of its proper divisors (3207813120).

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

979776000 is an frugal number, since it uses more digits than its factorization.

979776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 979776000 is about 31301.3737717692. The cubic root of 979776000 is about 993.2127034972.

The spelling of 979776000 in words is "nine hundred seventy-nine million, seven hundred seventy-six thousand".