76078873920 has 336 divisors, whose sum is σ = 281681651520. Its totient is φ = 17346502656.

The previous prime is 76078873867. The next prime is 76078873961. The reversal of 76078873920 is 2937887067.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21495511 + ... + 21499049.

Almost surely, 2^76078873920 is an apocalyptic number.

76078873920 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 76078873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140840825760).

76078873920 is an abundant number, since it is smaller than the sum of its proper divisors (205602777600).

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

76078873920 is a wasteful number, since it uses less digits than its factorization.

76078873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 76078873920 in words is "seventy-six billion, seventy-eight million, eight hundred seventy-three thousand, nine hundred twenty".