76777893366400 has 192 divisors, whose sum is σ = 198732967329600. Its totient is φ = 29253991219200.

The previous prime is 76777893366373. The next prime is 76777893366403. The reversal of 76777893366400 is 466339877767.

It is not an unprimeable number, because it can be changed into a prime (76777893366403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15573331 + ... + 19901869.

It is an arithmetic number, because the mean of its divisors is an integer number (1035067538175).

Almost surely, 2^{76777893366400} 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 76777893366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99366483664800).

76777893366400 is an abundant number, since it is smaller than the sum of its proper divisors (121955073963200).

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

76777893366400 is a wasteful number, since it uses less digits than its factorization.

76777893366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328827 (or 4328810 counting only the distinct ones).

The product of its (nonzero) digits is 1344252672, while the sum is 73.

The spelling of 76777893366400 in words is "seventy-six trillion, seven hundred seventy-seven billion, eight hundred ninety-three million, three hundred sixty-six thousand, four hundred".