78617226240 has 1408 divisors, whose sum is σ = 348062054400. Its totient is φ = 16625958912.

The previous prime is 78617226209. The next prime is 78617226253. The reversal of 78617226240 is 4262271687.

It is a happy number.

78617226240 is a `hidden beast` number, since 7 + 8 + 6 + 17 + 2 + 2 + 624 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1332495331 + ... + 1332495389.

Almost surely, 2^78617226240 is an apocalyptic number.

78617226240 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 78617226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174031027200).

78617226240 is an abundant number, since it is smaller than the sum of its proper divisors (269444828160).

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

78617226240 is an equidigital number, since it uses as much as digits as its factorization.

78617226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 78617226240 in words is "seventy-eight billion, six hundred seventeen million, two hundred twenty-six thousand, two hundred forty".