1279998720 has 1152 divisors, whose sum is σ = 6263470080. Its totient is φ = 238878720.

The previous prime is 1279998719. The next prime is 1279998761. The reversal of 1279998720 is 278999721.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34594542 + ... + 34594578.

It is an arithmetic number, because the mean of its divisors is an integer number (5437040).

Almost surely, 2^1279998720 is an apocalyptic number.

1279998720 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 1279998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131735040).

1279998720 is an abundant number, since it is smaller than the sum of its proper divisors (4983471360).

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

1279998720 is a wasteful number, since it uses less digits than its factorization.

1279998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 1279998720 is about 35777.0697514483. The cubic root of 1279998720 is about 1085.7666847155.

It can be divided in two parts, 1279 and 998720, that added together give a palindrome (999999).

The spelling of 1279998720 in words is "one billion, two hundred seventy-nine million, nine hundred ninety-eight thousand, seven hundred twenty".