78955968 has 112 divisors (see below), whose sum is σ = 257169920. Its totient is φ = 20818944.

The previous prime is 78955957. The next prime is 78955969. The reversal of 78955968 is 86955987.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78955969) 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, 15213 + ... + 19731.

It is an arithmetic number, because the mean of its divisors is an integer number (2296160).

Almost surely, 2^78955968 is an apocalyptic number.

78955968 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 78955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128584960).

78955968 is an abundant number, since it is smaller than the sum of its proper divisors (178213952).

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

78955968 is a wasteful number, since it uses less digits than its factorization.

78955968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4544 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 57.

The square root of 78955968 is about 8885.7170785480. The cubic root of 78955968 is about 429.0043087792.

The spelling of 78955968 in words is "seventy-eight million, nine hundred fifty-five thousand, nine hundred sixty-eight".