78417740 has 48 divisors (see below), whose sum is σ = 173638080. Its totient is φ = 29702400.

The previous prime is 78417739. The next prime is 78417743. The reversal of 78417740 is 4771487.

It is a super-2 number, since 2×78417740² = 12298683893415200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78417694 and 78417703.

It is not an unprimeable number, because it can be changed into a prime (78417743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29465 + ... + 32015.

It is an arithmetic number, because the mean of its divisors is an integer number (3617460).

Almost surely, 2^78417740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78417740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86819040).

78417740 is an abundant number, since it is smaller than the sum of its proper divisors (95220340).

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

78417740 is a wasteful number, since it uses less digits than its factorization.

78417740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 38.

The square root of 78417740 is about 8855.3791561965. The cubic root of 78417740 is about 428.0272713866.

The spelling of 78417740 in words is "seventy-eight million, four hundred seventeen thousand, seven hundred forty".