78292500480 has 960 divisors, whose sum is σ = 309530188800. Its totient is φ = 18919194624.

The previous prime is 78292500449. The next prime is 78292500491. The reversal of 78292500480 is 8400529287.

78292500480 is a `hidden beast` number, since 7 + 82 + 92 + 5 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×78292500480² (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 63 ways as a sum of consecutive naturals, for example, 3404021749 + ... + 3404021771.

It is an arithmetic number, because the mean of its divisors is an integer number (322427280).

Almost surely, 2^78292500480 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 78292500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154765094400).

78292500480 is an abundant number, since it is smaller than the sum of its proper divisors (231237688320).

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

78292500480 is an frugal number, since it uses more digits than its factorization.

78292500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 78292500480 in words is "seventy-eight billion, two hundred ninety-two million, five hundred thousand, four hundred eighty".