1408078080 has 288 divisors, whose sum is σ = 5068465920. Its totient is φ = 374740992.

The previous prime is 1408078033. The next prime is 1408078081. The reversal of 1408078080 is 808708041.

It is a tau number, because it is divible by the number of its divisors (288).

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 (1408078081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799109 + ... + 2799611.

It is an arithmetic number, because the mean of its divisors is an integer number (17598840).

Almost surely, 2^1408078080 is an apocalyptic number.

1408078080 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 1408078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534232960).

1408078080 is an abundant number, since it is smaller than the sum of its proper divisors (3660387840).

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

1408078080 is an frugal number, since it uses more digits than its factorization.

1408078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1408078080 is about 37524.3664836597. The cubic root of 1408078080 is about 1120.8364499882.

The spelling of 1408078080 in words is "one billion, four hundred eight million, seventy-eight thousand, eighty".