76599654320 has 80 divisors (see below), whose sum is σ = 203936857920. Its totient is φ = 26211044352.

The previous prime is 76599654317. The next prime is 76599654347. The reversal of 76599654320 is 2345699567.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×76599654320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150674 + ... + 419406.

It is an arithmetic number, because the mean of its divisors is an integer number (2549210724).

Almost surely, 2^76599654320 is an apocalyptic number.

76599654320 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 76599654320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101968428960).

76599654320 is an abundant number, since it is smaller than the sum of its proper divisors (127337203600).

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

76599654320 is a wasteful number, since it uses less digits than its factorization.

76599654320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269262 (or 269256 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 56.

The spelling of 76599654320 in words is "seventy-six billion, five hundred ninety-nine million, six hundred fifty-four thousand, three hundred twenty".