772133472000 has 2304 divisors, whose sum is σ = 3388631500800. Its totient is φ = 173187072000.

The previous prime is 772133471969. The next prime is 772133472001. The reversal of 772133472000 is 274331277.

It is a happy number.

772133472000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772133472001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13087007971 + ... + 13087008029.

It is an arithmetic number, because the mean of its divisors is an integer number (1470760200).

Almost surely, 2^772133472000 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 772133472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694315750400).

772133472000 is an abundant number, since it is smaller than the sum of its proper divisors (2616498028800).

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

772133472000 is an equidigital number, since it uses as much as digits as its factorization.

772133472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 772133472000 in words is "seven hundred seventy-two billion, one hundred thirty-three million, four hundred seventy-two thousand".