76898308032 has 336 divisors, whose sum is σ = 273835441152. Its totient is φ = 20089866240.

The previous prime is 76898308021. The next prime is 76898308051. The reversal of 76898308032 is 23080389867.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76898308032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5601657 + ... + 5615367.

It is an arithmetic number, because the mean of its divisors is an integer number (814986432).

Almost surely, 2^76898308032 is an apocalyptic number.

76898308032 is a gapful number since it is divisible by the number (72) 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 76898308032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136917720576).

76898308032 is an abundant number, since it is smaller than the sum of its proper divisors (196937133120).

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

76898308032 is a wasteful number, since it uses less digits than its factorization.

76898308032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13856 (or 13843 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 76898308032 in words is "seventy-six billion, eight hundred ninety-eight million, three hundred eight thousand, thirty-two".