78388772 has 48 divisors (see below), whose sum is σ = 172354560. Its totient is φ = 30304800.

The previous prime is 78388771. The next prime is 78388799. The reversal of 78388772 is 27788387.

It is a super-2 number, since 2×78388772² = 12289599151335968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78388772.

It is not an unprimeable number, because it can be changed into a prime (78388771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41897 + ... + 43727.

It is an arithmetic number, because the mean of its divisors is an integer number (3590720).

Almost surely, 2^78388772 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 78388772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86177280).

78388772 is an abundant number, since it is smaller than the sum of its proper divisors (93965788).

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

78388772 is a wasteful number, since it uses less digits than its factorization.

78388772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1990 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 50.

The square root of 78388772 is about 8853.7433890982. The cubic root of 78388772 is about 427.9745595849.

The spelling of 78388772 in words is "seventy-eight million, three hundred eighty-eight thousand, seven hundred seventy-two".