772474752 has 256 divisors, whose sum is σ = 2679091200. Its totient is φ = 214493184.

The previous prime is 772474739. The next prime is 772474753. The reversal of 772474752 is 257474277.

It is a junction number, because it is equal to n+sod(n) for n = 772474698 and 772474707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772474753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894673 + ... + 895535.

It is an arithmetic number, because the mean of its divisors is an integer number (10465200).

Almost surely, 2^772474752 is an apocalyptic number.

772474752 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 772474752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339545600).

772474752 is an abundant number, since it is smaller than the sum of its proper divisors (1906616448).

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

772474752 is a wasteful number, since it uses less digits than its factorization.

772474752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 912 counting only the distinct ones).

The product of its digits is 768320, while the sum is 45.

The square root of 772474752 is about 27793.4300150233. The cubic root of 772474752 is about 917.5465315565.

The spelling of 772474752 in words is "seven hundred seventy-two million, four hundred seventy-four thousand, seven hundred fifty-two".