78741180 has 192 divisors, whose sum is σ = 288046080. Its totient is φ = 17480448.

The previous prime is 78741139. The next prime is 78741181. The reversal of 78741180 is 8114787.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78741181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139579 + ... + 140141.

It is an arithmetic number, because the mean of its divisors is an integer number (1500240).

Almost surely, 2^78741180 is an apocalyptic number.

78741180 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 78741180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144023040).

78741180 is an abundant number, since it is smaller than the sum of its proper divisors (209304900).

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

78741180 is a wasteful number, since it uses less digits than its factorization.

78741180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 78741180 is about 8873.6227100322. The cubic root of 78741180 is about 428.6149412963.

The spelling of 78741180 in words is "seventy-eight million, seven hundred forty-one thousand, one hundred eighty".