78993408 has 192 divisors, whose sum is σ = 242161920. Its totient is φ = 22708224.

The previous prime is 78993403. The next prime is 78993427. The reversal of 78993408 is 80439987.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78993403) 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, 1837035 + ... + 1837077.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 2^78993408 is an apocalyptic number.

78993408 is a gapful number since it is divisible by the number (78) 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 78993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

78993408 is an abundant number, since it is smaller than the sum of its proper divisors (163168512).

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

78993408 is a wasteful number, since it uses less digits than its factorization.

78993408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 78993408 is about 8887.8235806073. The cubic root of 78993408 is about 429.0721076786.

It can be divided in two parts, 78993 and 408, that added together give a triangular number (79401 = T₃₉₈).

The spelling of 78993408 in words is "seventy-eight million, nine hundred ninety-three thousand, four hundred eight".