77199360000 has 600 divisors, whose sum is σ = 294808631040. Its totient is φ = 17596416000.

The previous prime is 77199359987. The next prime is 77199360053. The reversal of 77199360000 is 6399177.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215039821 + ... + 215040179.

Almost surely, 2^77199360000 is an apocalyptic number.

77199360000 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 77199360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147404315520).

77199360000 is an abundant number, since it is smaller than the sum of its proper divisors (217609271040).

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

77199360000 is an frugal number, since it uses more digits than its factorization.

77199360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The spelling of 77199360000 in words is "seventy-seven billion, one hundred ninety-nine million, three hundred sixty thousand".