76954136980500 has 1536 divisors, whose sum is σ = 282802854297600. Its totient is φ = 17937925632000.

The previous prime is 76954136980489. The next prime is 76954136980631. The reversal of 76954136980500 is 508963145967.

76954136980500 is a `hidden beast` number, since 7 + 6 + 9 + 5 + 4 + 1 + 36 + 98 + 0 + 500 = 666.

It is a super-3 number, since 3×76954136980500³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 49873062729 + ... + 49873064271.

It is an arithmetic number, because the mean of its divisors is an integer number (184116441600).

Almost surely, 2^{76954136980500} 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 76954136980500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141401427148800).

76954136980500 is an abundant number, since it is smaller than the sum of its proper divisors (205848717317100).

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

76954136980500 is a wasteful number, since it uses less digits than its factorization.

76954136980500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 76954136980500 in words is "seventy-six trillion, nine hundred fifty-four billion, one hundred thirty-six million, nine hundred eighty thousand, five hundred".