772235984 has 80 divisors (see below), whose sum is σ = 1672017984. Its totient is φ = 343219200.

The previous prime is 772235951. The next prime is 772235987. The reversal of 772235984 is 489532277.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772235987) 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 15 ways as a sum of consecutive naturals, for example, 707279 + ... + 708369.

Almost surely, 2^772235984 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 772235984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836008992).

772235984 is an abundant number, since it is smaller than the sum of its proper divisors (899782000).

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

772235984 is a wasteful number, since it uses less digits than its factorization.

772235984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1230 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The square root of 772235984 is about 27789.1342794266. The cubic root of 772235984 is about 917.4519854992.

The spelling of 772235984 in words is "seven hundred seventy-two million, two hundred thirty-five thousand, nine hundred eighty-four".