78402048480 has 144 divisors (see below), whose sum is σ = 305768028384. Its totient is φ = 17920465920.

The previous prime is 78402048469. The next prime is 78402048493. The reversal of 78402048480 is 8484020487.

It is a happy number.

78402048480 is a `hidden beast` number, since 78 + 4 + 0 + 20 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×78402048480² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 3878911 + ... + 3899070.

It is an arithmetic number, because the mean of its divisors is an integer number (2123389086).

Almost surely, 2^78402048480 is an apocalyptic number.

78402048480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78402048480 is an abundant number, since it is smaller than the sum of its proper divisors (227365979904).

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

78402048480 is a wasteful number, since it uses less digits than its factorization.

78402048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778009 (or 7777998 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 78402048480 in words is "seventy-eight billion, four hundred two million, forty-eight thousand, four hundred eighty".