772429132800 has 2112 divisors, whose sum is σ = 3274990387200. Its totient is φ = 177035673600.

The previous prime is 772429132763. The next prime is 772429132801. The reversal of 772429132800 is 8231924277.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772429132801) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 13092019171 + ... + 13092019229.

Almost surely, 2^772429132800 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 772429132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637495193600).

772429132800 is an abundant number, since it is smaller than the sum of its proper divisors (2502561254400).

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

772429132800 is a wasteful number, since it uses less digits than its factorization.

772429132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 772429132800 in words is "seven hundred seventy-two billion, four hundred twenty-nine million, one hundred thirty-two thousand, eight hundred".