772000992 has 144 divisors (see below), whose sum is σ = 2517147360. Its totient is φ = 219856896.

The previous prime is 772000987. The next prime is 772000993. The reversal of 772000992 is 299000277.

It is a tau number, because it is divible by the number of its divisors (144).

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 (772000993) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1146768 + ... + 1147440.

It is an arithmetic number, because the mean of its divisors is an integer number (17480190).

Almost surely, 2^772000992 is an apocalyptic number.

772000992 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 772000992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258573680).

772000992 is an abundant number, since it is smaller than the sum of its proper divisors (1745146368).

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

772000992 is a wasteful number, since it uses less digits than its factorization.

772000992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 772000992 is about 27784.9058303245. The cubic root of 772000992 is about 917.3589156115.

The spelling of 772000992 in words is "seven hundred seventy-two million, nine hundred ninety-two", and thus it is an aban number.