76133300760 has 256 divisors, whose sum is σ = 277069248000. Its totient is φ = 18441838080.

The previous prime is 76133300729. The next prime is 76133300767. The reversal of 76133300760 is 6700333167.

76133300760 is a `hidden beast` number, since 7 + 613 + 3 + 30 + 0 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×76133300760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76133300767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26170186 + ... + 26173094.

It is an arithmetic number, because the mean of its divisors is an integer number (1082301750).

Almost surely, 2^76133300760 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 76133300760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138534624000).

76133300760 is an abundant number, since it is smaller than the sum of its proper divisors (200935947240).

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

76133300760 is a wasteful number, since it uses less digits than its factorization.

76133300760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The spelling of 76133300760 in words is "seventy-six billion, one hundred thirty-three million, three hundred thousand, seven hundred sixty".