1979873280 has 960 divisors, whose sum is σ = 9132963840. Its totient is φ = 398131200.

The previous prime is 1979873257. The next prime is 1979873299. The reversal of 1979873280 is 823789791.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63866865 + ... + 63866895.

It is an arithmetic number, because the mean of its divisors is an integer number (9513504).

Almost surely, 2^1979873280 is an apocalyptic number.

1979873280 is a gapful number since it is divisible by the number (10) 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 1979873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566481920).

1979873280 is an abundant number, since it is smaller than the sum of its proper divisors (7153090560).

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

1979873280 is a wasteful number, since it uses less digits than its factorization.

1979873280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 1979873280 is about 44495.7669896812. The cubic root of 1979873280 is about 1255.6804466514.

The spelling of 1979873280 in words is "one billion, nine hundred seventy-nine million, eight hundred seventy-three thousand, two hundred eighty".