78990480 has 120 divisors (see below), whose sum is σ = 273911040. Its totient is φ = 20378880.

The previous prime is 78990479. The next prime is 78990497. The reversal of 78990480 is 8409987.

78990480 is a `hidden beast` number, since 7 + 89 + 90 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 20551 + ... + 24089.

It is an arithmetic number, because the mean of its divisors is an integer number (2282592).

Almost surely, 2^78990480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78990480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136955520).

78990480 is an abundant number, since it is smaller than the sum of its proper divisors (194920560).

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

78990480 is a wasteful number, since it uses less digits than its factorization.

78990480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 78990480 is about 8887.6588593397. The cubic root of 78990480 is about 429.0668062293.

The spelling of 78990480 in words is "seventy-eight million, nine hundred ninety thousand, four hundred eighty".