1278345600 has 576 divisors, whose sum is σ = 5534511840. Its totient is φ = 274268160.

The previous prime is 1278345599. The next prime is 1278345643. The reversal of 1278345600 is 65438721.

1278345600 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 3 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3427014 + ... + 3427386.

Almost surely, 2^1278345600 is an apocalyptic number.

1278345600 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 1278345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767255920).

1278345600 is an abundant number, since it is smaller than the sum of its proper divisors (4256166240).

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

1278345600 is a wasteful number, since it uses less digits than its factorization.

1278345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1278345600 is about 35753.9592213226. The cubic root of 1278345600 is about 1085.2990603200.

The spelling of 1278345600 in words is "one billion, two hundred seventy-eight million, three hundred forty-five thousand, six hundred".