99777964 has 96 divisors (see below), whose sum is σ = 224888832. Its totient is φ = 38016000.

The previous prime is 99777943. The next prime is 99777967. The reversal of 99777964 is 46977799.

It is a junction number, because it is equal to n+sod(n) for n = 99777899 and 99777908.

It is not an unprimeable number, because it can be changed into a prime (99777967) 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 31 ways as a sum of consecutive naturals, for example, 301279 + ... + 301609.

It is an arithmetic number, because the mean of its divisors is an integer number (2342592).

Almost surely, 2^99777964 is an apocalyptic number.

It is an amenable number.

99777964 is an abundant number, since it is smaller than the sum of its proper divisors (125110868).

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

99777964 is a wasteful number, since it uses less digits than its factorization.

99777964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its digits is 6001128, while the sum is 58.

The square root of 99777964 is about 9988.8920306508. The cubic root of 99777964 is about 463.8150955186.

It can be divided in two parts, 997 and 77964, that added together give a square (78961 = 281²).

The spelling of 99777964 in words is "ninety-nine million, seven hundred seventy-seven thousand, nine hundred sixty-four".