76629788160 has 320 divisors, whose sum is σ = 257548515840. Its totient is φ = 19399311360.

The previous prime is 76629788159. The next prime is 76629788173. The reversal of 76629788160 is 6188792667.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 76629788094 and 76629788103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24551400 + ... + 24554520.

It is an arithmetic number, because the mean of its divisors is an integer number (804839112).

Almost surely, 2^76629788160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76629788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128774257920).

76629788160 is an abundant number, since it is smaller than the sum of its proper divisors (180918727680).

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

76629788160 is a wasteful number, since it uses less digits than its factorization.

76629788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 76629788160 in words is "seventy-six billion, six hundred twenty-nine million, seven hundred eighty-eight thousand, one hundred sixty".