78936469920 has 2016 divisors, whose sum is σ = 379810819584. Its totient is φ = 15109079040.

The previous prime is 78936469919. The next prime is 78936469933. The reversal of 78936469920 is 2996463987.

78936469920 is a `hidden beast` number, since 7 + 89 + 3 + 6 + 469 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1679499337 + ... + 1679499383.

It is an arithmetic number, because the mean of its divisors is an integer number (188398224).

Almost surely, 2^78936469920 is an apocalyptic number.

78936469920 is a gapful number since it is divisible by the number (70) 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 78936469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189905409792).

78936469920 is an abundant number, since it is smaller than the sum of its proper divisors (300874349664).

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

78936469920 is a wasteful number, since it uses less digits than its factorization.

78936469920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 78936469920 in words is "seventy-eight billion, nine hundred thirty-six million, four hundred sixty-nine thousand, nine hundred twenty".