772299528 has 512 divisors, whose sum is σ = 2879815680. Its totient is φ = 165888000.

The previous prime is 772299503. The next prime is 772299529. The reversal of 772299528 is 825992277.

It is a super-3 number, since 3×772299528³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (772299529) 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 127 ways as a sum of consecutive naturals, for example, 12660618 + ... + 12660678.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^772299528 is an apocalyptic number.

772299528 is a gapful number since it is divisible by the number (78) 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 772299528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439907840).

772299528 is an abundant number, since it is smaller than the sum of its proper divisors (2107516152).

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

772299528 is a wasteful number, since it uses less digits than its factorization.

772299528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 772299528 is about 27790.2775804777. The cubic root of 772299528 is about 917.4771492105.

The spelling of 772299528 in words is "seven hundred seventy-two million, two hundred ninety-nine thousand, five hundred twenty-eight".