76111940713900 has 432 divisors, whose sum is σ = 211733346323520. Its totient is φ = 23236474060800.

The previous prime is 76111940713891. The next prime is 76111940713909. The reversal of 76111940713900 is 931704911167.

It is an interprime number because it is at equal distance from previous prime (76111940713891) and next prime (76111940713909).

It is not an unprimeable number, because it can be changed into a prime (76111940713909) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 431588542 + ... + 431764858.

It is an arithmetic number, because the mean of its divisors is an integer number (490123486860).

Almost surely, 2^{76111940713900} is an apocalyptic number.

76111940713900 is a gapful number since it is divisible by the number (70) 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 76111940713900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105866673161760).

76111940713900 is an abundant number, since it is smaller than the sum of its proper divisors (135621405609620).

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

76111940713900 is a wasteful number, since it uses less digits than its factorization.

76111940713900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176494 (or 176474 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 49.

The spelling of 76111940713900 in words is "seventy-six trillion, one hundred eleven billion, nine hundred forty million, seven hundred thirteen thousand, nine hundred".