76749398880 has 384 divisors, whose sum is σ = 301844745216. Its totient is φ = 15925248000.

The previous prime is 76749398867. The next prime is 76749398881. The reversal of 76749398880 is 8889394767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76749398881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42613980 + ... + 42615780.

It is an arithmetic number, because the mean of its divisors is an integer number (786054024).

Almost surely, 2^76749398880 is an apocalyptic number.

76749398880 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 76749398880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150922372608).

76749398880 is an abundant number, since it is smaller than the sum of its proper divisors (225095346336).

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

76749398880 is a wasteful number, since it uses less digits than its factorization.

76749398880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 69.

The spelling of 76749398880 in words is "seventy-six billion, seven hundred forty-nine million, three hundred ninety-eight thousand, eight hundred eighty".