772254000 has 480 divisors, whose sum is σ = 3210794496. Its totient is φ = 175737600.

The previous prime is 772253971. The next prime is 772254013. The reversal of 772254000 is 452277.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3401887 + ... + 3402113.

Almost surely, 2^772254000 is an apocalyptic number.

772254000 is a gapful number since it is divisible by the number (70) 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 772254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605397248).

772254000 is an abundant number, since it is smaller than the sum of its proper divisors (2438540496).

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

772254000 is a wasteful number, since it uses less digits than its factorization.

772254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 772254000 is about 27789.4584330102. The cubic root of 772254000 is about 917.4591200569.

It can be divided in two parts, 77225 and 4000, that added together give a square (81225 = 285²).

The spelling of 772254000 in words is "seven hundred seventy-two million, two hundred fifty-four thousand".