78224585040 has 480 divisors, whose sum is σ = 308496254976. Its totient is φ = 17394600960.

The previous prime is 78224585039. The next prime is 78224585099. The reversal of 78224585040 is 4058542287.

78224585040 is a `hidden beast` number, since 7 + 8 + 2 + 24 + 585 + 0 + 40 = 666.

It is a super-2 number, since 2×78224585040² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28026045 + ... + 28028835.

Almost surely, 2^78224585040 is an apocalyptic number.

78224585040 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 78224585040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154248127488).

78224585040 is an abundant number, since it is smaller than the sum of its proper divisors (230271669936).

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

78224585040 is a wasteful number, since it uses less digits than its factorization.

78224585040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 78224585040 in words is "seventy-eight billion, two hundred twenty-four million, five hundred eighty-five thousand, forty".