1278036480 has 160 divisors (see below), whose sum is σ = 4669593984. Its totient is φ = 292110336.

The previous prime is 1278036479. The next prime is 1278036481. The reversal of 1278036480 is 846308721.

It is an interprime number because it is at equal distance from previous prime (1278036479) and next prime (1278036481).

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1278036481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41874 + ... + 65646.

Almost surely, 2^1278036480 is an apocalyptic number.

1278036480 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 1278036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334796992).

1278036480 is an abundant number, since it is smaller than the sum of its proper divisors (3391557504).

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

1278036480 is an equidigital number, since it uses as much as digits as its factorization.

1278036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23806 (or 23790 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1278036480 is about 35749.6360820638. The cubic root of 1278036480 is about 1085.2115736260.

The spelling of 1278036480 in words is "one billion, two hundred seventy-eight million, thirty-six thousand, four hundred eighty".