77919625728000 has 1664 divisors, whose sum is σ = 333348967111680. Its totient is φ = 17808408576000.

The previous prime is 77919625727989. The next prime is 77919625728011. The reversal of 77919625728000 is 82752691977.

It is an interprime number because it is at equal distance from previous prime (77919625727989) and next prime (77919625728011).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7838203030 + ... + 7838212970.

It is an arithmetic number, because the mean of its divisors is an integer number (200329908120).

Almost surely, 2^{77919625728000} is an apocalyptic number.

77919625728000 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 77919625728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166674483555840).

77919625728000 is an abundant number, since it is smaller than the sum of its proper divisors (255429341383680).

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

77919625728000 is an frugal number, since it uses more digits than its factorization.

77919625728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10008 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 77919625728000 in words is "seventy-seven trillion, nine hundred nineteen billion, six hundred twenty-five million, seven hundred twenty-eight thousand".