772011000 has 256 divisors, whose sum is σ = 2717020800. Its totient is φ = 205286400.

The previous prime is 772010969. The next prime is 772011007. The reversal of 772011000 is 110277.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2186824 + ... + 2187176.

Almost surely, 2^772011000 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 772011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358510400).

772011000 is an abundant number, since it is smaller than the sum of its proper divisors (1945009800).

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

772011000 is an equidigital number, since it uses as much as digits as its factorization.

772011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 772011000 is about 27785.0859275259. The cubic root of 772011000 is about 917.3628797205.

Adding to 772011000 its reverse (110277), we get a palindrome (772121277).

The spelling of 772011000 in words is "seven hundred seventy-two million, eleven thousand".