1285979760 has 320 divisors, whose sum is σ = 4890936960. Its totient is φ = 308551680.

The previous prime is 1285979707. The next prime is 1285979771. The reversal of 1285979760 is 679795821.

1285979760 is digitally balanced in base 4, 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 junction number, because it is equal to n+sod(n) for n = 1285979697 and 1285979706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1150722 + ... + 1151838.

It is an arithmetic number, because the mean of its divisors is an integer number (15284178).

Almost surely, 2^1285979760 is an apocalyptic number.

1285979760 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 1285979760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445468480).

1285979760 is an abundant number, since it is smaller than the sum of its proper divisors (3604957200).

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

1285979760 is a wasteful number, since it uses less digits than its factorization.

1285979760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 1285979760 is about 35860.5599510102. The cubic root of 1285979760 is about 1087.4552086189.

The spelling of 1285979760 in words is "one billion, two hundred eighty-five million, nine hundred seventy-nine thousand, seven hundred sixty".