1282002720 has 96 divisors (see below), whose sum is σ = 4051010880. Its totient is φ = 340792320.

The previous prime is 1282002707. The next prime is 1282002749. The reversal of 1282002720 is 272002821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154846 + ... + 162914.

It is an arithmetic number, because the mean of its divisors is an integer number (42198030).

Almost surely, 2^1282002720 is an apocalyptic number.

1282002720 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 1282002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025505440).

1282002720 is an abundant number, since it is smaller than the sum of its proper divisors (2769008160).

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

1282002720 is a wasteful number, since it uses less digits than its factorization.

1282002720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8418 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1282002720 is about 35805.0655634088. The cubic root of 1282002720 is about 1086.3330243147. Note that the first 3 decimals are identical.

The spelling of 1282002720 in words is "one billion, two hundred eighty-two million, two thousand, seven hundred twenty".