1178478720 has 320 divisors, whose sum is σ = 4265395200. Its totient is φ = 310044672.

The previous prime is 1178478649. The next prime is 1178478739. The reversal of 1178478720 is 278748711.

1178478720 is a `hidden beast` number, since 1 + 178 + 478 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6583591 + ... + 6583769.

It is an arithmetic number, because the mean of its divisors is an integer number (13329360).

Almost surely, 2^1178478720 is an apocalyptic number.

1178478720 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 1178478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132697600).

1178478720 is an abundant number, since it is smaller than the sum of its proper divisors (3086916480).

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

1178478720 is a wasteful number, since it uses less digits than its factorization.

1178478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The square root of 1178478720 is about 34328.9778467114. The cubic root of 1178478720 is about 1056.2674942191.

The spelling of 1178478720 in words is "one billion, one hundred seventy-eight million, four hundred seventy-eight thousand, seven hundred twenty".