78049920 has 256 divisors, whose sum is σ = 277603200. Its totient is φ = 18530304.

The previous prime is 78049919. The next prime is 78049943. The reversal of 78049920 is 2994087.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1322851 + ... + 1322909.

Almost surely, 2^78049920 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 78049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

78049920 is an abundant number, since it is smaller than the sum of its proper divisors (199553280).

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

78049920 is a wasteful number, since it uses less digits than its factorization.

78049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 78049920 is about 8834.5865777636. The cubic root of 78049920 is about 427.3569987832.

It can be divided in two parts, 780 and 49920, that multiplied together give a square (38937600 = 6240²).

The spelling of 78049920 in words is "seventy-eight million, forty-nine thousand, nine hundred twenty".