78182917632 has 160 divisors (see below), whose sum is σ = 232986204000. Its totient is φ = 25885384704.

The previous prime is 78182917627. The next prime is 78182917639. The reversal of 78182917632 is 23671928187.

It is a happy number.

It is a super-2 number, since 2×78182917632² (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 (78182917639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2040798 + ... + 2078754.

It is an arithmetic number, because the mean of its divisors is an integer number (1456163775).

Almost surely, 2^78182917632 is an apocalyptic number.

78182917632 is a gapful number since it is divisible by the number (72) 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 78182917632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116493102000).

78182917632 is an abundant number, since it is smaller than the sum of its proper divisors (154803286368).

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

78182917632 is a wasteful number, since it uses less digits than its factorization.

78182917632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38133 (or 38111 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 78182917632 in words is "seventy-eight billion, one hundred eighty-two million, nine hundred seventeen thousand, six hundred thirty-two".