772323552 has 768 divisors, whose sum is σ = 3251404800. Its totient is φ = 171694080.

The previous prime is 772323551. The next prime is 772323557. The reversal of 772323552 is 255323277.

772323552 is a `hidden beast` number, since 7 + 72 + 32 + 3 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772323551) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16432393 + ... + 16432439.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^772323552 is an apocalyptic number.

772323552 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 772323552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625702400).

772323552 is an abundant number, since it is smaller than the sum of its proper divisors (2479081248).

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

772323552 is a wasteful number, since it uses less digits than its factorization.

772323552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 772323552 is about 27790.7098146125. The cubic root of 772323552 is about 917.4866624635.

The spelling of 772323552 in words is "seven hundred seventy-two million, three hundred twenty-three thousand, five hundred fifty-two".