76219920000 has 960 divisors, whose sum is σ = 325849444800. Its totient is φ = 17176320000.

The previous prime is 76219919981. The next prime is 76219920001. The reversal of 76219920000 is 2991267.

76219920000 is a `hidden beast` number, since 7 + 621 + 9 + 9 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76219920001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1073519965 + ... + 1073520035.

It is an arithmetic number, because the mean of its divisors is an integer number (339426505).

Almost surely, 2^76219920000 is an apocalyptic number.

76219920000 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 76219920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162924722400).

76219920000 is an abundant number, since it is smaller than the sum of its proper divisors (249629524800).

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

76219920000 is an frugal number, since it uses more digits than its factorization.

76219920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 76219920000 in words is "seventy-six billion, two hundred nineteen million, nine hundred twenty thousand".