76886000730 has 192 divisors, whose sum is σ = 249380142336. Its totient is φ = 15966720000.

The previous prime is 76886000717. The next prime is 76886000753. The reversal of 76886000730 is 3700068867.

76886000730 is a `hidden beast` number, since 7 + 6 + 8 + 8 + 600 + 0 + 7 + 30 = 666.

It is a super-2 number, since 2×76886000730² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22874250 + ... + 22877610.

It is an arithmetic number, because the mean of its divisors is an integer number (1298854908).

Almost surely, 2^76886000730 is an apocalyptic number.

76886000730 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76886000730 is the 138642-nd decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76886000730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124690071168).

76886000730 is an abundant number, since it is smaller than the sum of its proper divisors (172494141606).

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

76886000730 is a wasteful number, since it uses less digits than its factorization.

76886000730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6693 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 76886000730 in words is "seventy-six billion, eight hundred eighty-six million, seven hundred thirty", and thus it is an aban number.