76330537920 has 2016 divisors, whose sum is σ = 361226331648. Its totient is φ = 15174770688.

The previous prime is 76330537909. The next prime is 76330537951. The reversal of 76330537920 is 2973503367.

76330537920 is a `hidden beast` number, since 7 + 63 + 30 + 537 + 9 + 20 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 1139261727 + ... + 1139261793.

It is an arithmetic number, because the mean of its divisors is an integer number (179179728).

Almost surely, 2^76330537920 is an apocalyptic number.

76330537920 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 76330537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180613165824).

76330537920 is an abundant number, since it is smaller than the sum of its proper divisors (284895793728).

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

76330537920 is a wasteful number, since it uses less digits than its factorization.

76330537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 45.

The spelling of 76330537920 in words is "seventy-six billion, three hundred thirty million, five hundred thirty-seven thousand, nine hundred twenty".