1278153360 has 240 divisors, whose sum is σ = 4750731648. Its totient is φ = 305356800.

The previous prime is 1278153307. The next prime is 1278153361. The reversal of 1278153360 is 633518721.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1278153361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561184 + ... + 563456.

Almost surely, 2^1278153360 is an apocalyptic number.

1278153360 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 1278153360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375365824).

1278153360 is an abundant number, since it is smaller than the sum of its proper divisors (3472578288).

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

1278153360 is a wasteful number, since it uses less digits than its factorization.

1278153360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1278153360 is about 35751.2707466462. The cubic root of 1278153360 is about 1085.2446544925.

The spelling of 1278153360 in words is "one billion, two hundred seventy-eight million, one hundred fifty-three thousand, three hundred sixty".