78274599480 has 1280 divisors, whose sum is σ = 351267840000. Its totient is φ = 15153868800.

The previous prime is 78274599479. The next prime is 78274599503. The reversal of 78274599480 is 8499547287.

78274599480 is a `hidden beast` number, since 7 + 8 + 27 + 45 + 99 + 480 = 666.

It is a super-2 number, since 2×78274599480² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 224282346 + ... + 224282694.

It is an arithmetic number, because the mean of its divisors is an integer number (274428000).

Almost surely, 2^78274599480 is an apocalyptic number.

78274599480 is a gapful number since it is divisible by the number (70) 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 78274599480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920000).

78274599480 is an abundant number, since it is smaller than the sum of its proper divisors (272993240520).

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

78274599480 is a wasteful number, since it uses less digits than its factorization.

78274599480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 78274599480 in words is "seventy-eight billion, two hundred seventy-four million, five hundred ninety-nine thousand, four hundred eighty".