78158233440 has 288 divisors, whose sum is σ = 305057975040. Its totient is φ = 17850627072.

The previous prime is 78158233423. The next prime is 78158233441. The reversal of 78158233440 is 4433285187.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×78158233440² (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 not an unprimeable number, because it can be changed into a prime (78158233441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18010791 + ... + 18015129.

It is an arithmetic number, because the mean of its divisors is an integer number (1059229080).

Almost surely, 2^78158233440 is an apocalyptic number.

78158233440 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 78158233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152528987520).

78158233440 is an abundant number, since it is smaller than the sum of its proper divisors (226899741600).

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

78158233440 is a wasteful number, since it uses less digits than its factorization.

78158233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6154 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 78158233440 in words is "seventy-eight billion, one hundred fifty-eight million, two hundred thirty-three thousand, four hundred forty".