76849211088 has 120 divisors (see below), whose sum is σ = 231843772160. Its totient is φ = 23622554880.

The previous prime is 76849211053. The next prime is 76849211107. The reversal of 76849211088 is 88011294867.

76849211088 is a `hidden beast` number, since 7 + 68 + 492 + 1 + 10 + 88 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1925253 + ... + 1964763.

Almost surely, 2^76849211088 is an apocalyptic number.

76849211088 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76849211088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115921886080).

76849211088 is an abundant number, since it is smaller than the sum of its proper divisors (154994561072).

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

76849211088 is a wasteful number, since it uses less digits than its factorization.

76849211088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40577 (or 40568 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 76849211088 in words is "seventy-six billion, eight hundred forty-nine million, two hundred eleven thousand, eighty-eight".