1007777225777 has 64 divisors (see below), whose sum is σ = 1288964358144. Its totient is φ = 768148254720.

The previous prime is 1007777225771. The next prime is 1007777225797. The reversal of 1007777225777 is 7775227777001.

It is not a de Polignac number, because 1007777225777 - 2¹⁶ = 1007777160241 is a prime.

It is a super-2 number, since 2×1007777225777² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1007777225771) 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, 27911378 + ... + 27947460.

It is an arithmetic number, because the mean of its divisors is an integer number (20140068096).

Almost surely, 2^{1007777225777} is an apocalyptic number.

1007777225777 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1007777225777 is a deficient number, since it is larger than the sum of its proper divisors (281187132367).

1007777225777 is a wasteful number, since it uses less digits than its factorization.

1007777225777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36318.

The product of its (nonzero) digits is 16470860, while the sum is 59.

The spelling of 1007777225777 in words is "one trillion, seven billion, seven hundred seventy-seven million, two hundred twenty-five thousand, seven hundred seventy-seven".