772349832 has 96 divisors (see below), whose sum is σ = 2165248800. Its totient is φ = 248548608.

The previous prime is 772349827. The next prime is 772349833. The reversal of 772349832 is 238943277.

It is not an unprimeable number, because it can be changed into a prime (772349833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274143 + ... + 276945.

It is an arithmetic number, because the mean of its divisors is an integer number (22554675).

Almost surely, 2^772349832 is an apocalyptic number.

772349832 is a gapful number since it is divisible by the number (72) 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 772349832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082624400).

772349832 is an abundant number, since it is smaller than the sum of its proper divisors (1392898968).

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

772349832 is a wasteful number, since it uses less digits than its factorization.

772349832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2940 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 772349832 is about 27791.1826304675. The cubic root of 772349832 is about 917.4970688431.

The spelling of 772349832 in words is "seven hundred seventy-two million, three hundred forty-nine thousand, eight hundred thirty-two".