772485120000 has 1280 divisors, whose sum is σ = 3144673382400. Its totient is φ = 185794560000.

The previous prime is 772485119993. The next prime is 772485120013. The reversal of 772485120000 is 21584277.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6082559937 + ... + 6082560063.

It is an arithmetic number, because the mean of its divisors is an integer number (2456776080).

Almost surely, 2^772485120000 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 772485120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572336691200).

772485120000 is an abundant number, since it is smaller than the sum of its proper divisors (2372188262400).

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

772485120000 is an equidigital number, since it uses as much as digits as its factorization.

772485120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 772485120000 in words is "seven hundred seventy-two billion, four hundred eighty-five million, one hundred twenty thousand".