78191245440 has 1536 divisors, whose sum is σ = 357813780480. Its totient is φ = 15388876800.

The previous prime is 78191245439. The next prime is 78191245463. The reversal of 78191245440 is 4454219187.

78191245440 is a `hidden beast` number, since 7 + 8 + 191 + 2 + 454 + 4 + 0 = 666.

It is a super-2 number, since 2×78191245440² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1663643497 + ... + 1663643543.

It is an arithmetic number, because the mean of its divisors is an integer number (232951680).

Almost surely, 2^78191245440 is an apocalyptic number.

78191245440 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 78191245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178906890240).

78191245440 is an abundant number, since it is smaller than the sum of its proper divisors (279622535040).

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

78191245440 is a wasteful number, since it uses less digits than its factorization.

78191245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

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

The spelling of 78191245440 in words is "seventy-eight billion, one hundred ninety-one million, two hundred forty-five thousand, four hundred forty".