78274712880 has 1400 divisors, whose sum is σ = 350773621968. Its totient is φ = 16131032064.

The previous prime is 78274712869. The next prime is 78274712903. The reversal of 78274712880 is 8821747287.

78274712880 is a `hidden beast` number, since 78 + 2 + 7 + 471 + 28 + 80 = 666.

It is a super-2 number, since 2×78274712880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 1820342139 + ... + 1820342181.

Almost surely, 2^78274712880 is an apocalyptic number.

78274712880 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 78274712880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175386810984).

78274712880 is an abundant number, since it is smaller than the sum of its proper divisors (272498909088).

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

78274712880 is an equidigital number, since it uses as much as digits as its factorization.

78274712880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The spelling of 78274712880 in words is "seventy-eight billion, two hundred seventy-four million, seven hundred twelve thousand, eight hundred eighty".