977984280 has 640 divisors, whose sum is σ = 4215214080. Its totient is φ = 197821440.

The previous prime is 977984261. The next prime is 977984281. The reversal of 977984280 is 82489779.

977984280 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977984281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9139987 + ... + 9140093.

It is an arithmetic number, because the mean of its divisors is an integer number (6586272).

Almost surely, 2^977984280 is an apocalyptic number.

977984280 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 977984280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107607040).

977984280 is an abundant number, since it is smaller than the sum of its proper divisors (3237229800).

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

977984280 is a wasteful number, since it uses less digits than its factorization.

977984280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 977984280 is about 31272.7402061284. The cubic root of 977984280 is about 992.6069034876.

The spelling of 977984280 in words is "nine hundred seventy-seven million, nine hundred eighty-four thousand, two hundred eighty".