76887998640 has 180 divisors, whose sum is σ = 264671242992. Its totient is φ = 20003066880.

The previous prime is 76887998581. The next prime is 76887998641. The reversal of 76887998640 is 4689978867.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-5 number, since 5×76887998640⁵ (a number of 56 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (76887998641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1178557 + ... + 1242083.

Almost surely, 2^76887998640 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 76887998640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132335621496).

76887998640 is an abundant number, since it is smaller than the sum of its proper divisors (187783244352).

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

76887998640 is a wasteful number, since it uses less digits than its factorization.

76887998640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63628 (or 63578 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 76887998640 in words is "seventy-six billion, eight hundred eighty-seven million, nine hundred ninety-eight thousand, six hundred forty".