78291007488 has 336 divisors, whose sum is σ = 240620889600. Its totient is φ = 25440583680.

The previous prime is 78291007463. The next prime is 78291007489. The reversal of 78291007488 is 88470019287.

It is a happy number.

78291007488 is a `hidden beast` number, since 78 + 2 + 91 + 0 + 0 + 7 + 488 = 666.

It is a super-2 number, since 2×78291007488² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78291007489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 61212033 + ... + 61213311.

It is an arithmetic number, because the mean of its divisors is an integer number (716133600).

Almost surely, 2^78291007488 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 78291007488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120310444800).

78291007488 is an abundant number, since it is smaller than the sum of its proper divisors (162329882112).

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

78291007488 is an equidigital number, since it uses as much as digits as its factorization.

78291007488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 78291007488 in words is "seventy-eight billion, two hundred ninety-one million, seven thousand, four hundred eighty-eight".