772308432000 has 1152 divisors, whose sum is σ = 3294653431680. Its totient is φ = 176359680000.

The previous prime is 772308431977. The next prime is 772308432001. The reversal of 772308432000 is 234803277.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (772308432001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 734831475 + ... + 734832525.

It is an arithmetic number, because the mean of its divisors is an integer number (2859942215).

Almost surely, 2^772308432000 is an apocalyptic number.

772308432000 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 772308432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647326715840).

772308432000 is an abundant number, since it is smaller than the sum of its proper divisors (2522344999680).

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

772308432000 is an frugal number, since it uses more digits than its factorization.

772308432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 772308432000 in words is "seven hundred seventy-two billion, three hundred eight million, four hundred thirty-two thousand".