76877579520 has 1728 divisors, whose sum is σ = 349699424256. Its totient is φ = 15765995520.

The previous prime is 76877579491. The next prime is 76877579521. The reversal of 76877579520 is 2597577867.

76877579520 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 7 + 579 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76877579521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1147426527 + ... + 1147426593.

It is an arithmetic number, because the mean of its divisors is an integer number (202372352).

Almost surely, 2^76877579520 is an apocalyptic number.

76877579520 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 76877579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174849712128).

76877579520 is an abundant number, since it is smaller than the sum of its proper divisors (272821844736).

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

76877579520 is a wasteful number, since it uses less digits than its factorization.

76877579520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 51861600, while the sum is 63.

The spelling of 76877579520 in words is "seventy-six billion, eight hundred seventy-seven million, five hundred seventy-nine thousand, five hundred twenty".