77656320000 has 1200 divisors, whose sum is σ = 334352098080. Its totient is φ = 17584128000.

The previous prime is 77656319987. The next prime is 77656320013. The reversal of 77656320000 is 2365677.

It is a happy number.

77656320000 is a `hidden beast` number, since 7 + 76 + 563 + 20 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (77656319987) and next prime (77656320013).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 725759947 + ... + 725760053.

Almost surely, 2^77656320000 is an apocalyptic number.

77656320000 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 77656320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167176049040).

77656320000 is an abundant number, since it is smaller than the sum of its proper divisors (256695778080).

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

77656320000 is an equidigital number, since it uses as much as digits as its factorization.

77656320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

Adding to 77656320000 its reverse (2365677), we get a palindrome (77658685677).

The spelling of 77656320000 in words is "seventy-seven billion, six hundred fifty-six million, three hundred twenty thousand".