77958720000 has 800 divisors, whose sum is σ = 329811926400. Its totient is φ = 17805312000.

The previous prime is 77958719977. The next prime is 77958720029. The reversal of 77958720000 is 2785977.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60479356 + ... + 60480644.

It is an arithmetic number, because the mean of its divisors is an integer number (412264908).

Almost surely, 2^77958720000 is an apocalyptic number.

77958720000 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 77958720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164905963200).

77958720000 is an abundant number, since it is smaller than the sum of its proper divisors (251853206400).

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

77958720000 is an equidigital number, since it uses as much as digits as its factorization.

77958720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 77958720000 in words is "seventy-seven billion, nine hundred fifty-eight million, seven hundred twenty thousand".