1007772801 has 16 divisors (see below), whose sum is σ = 1625986944. Its totient is φ = 541995264.

The previous prime is 1007772763. The next prime is 1007772817. The reversal of 1007772801 is 1082777001.

It is not a de Polignac number, because 1007772801 - 2⁹ = 1007772289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007772841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1411090 + ... + 1411803.

It is an arithmetic number, because the mean of its divisors is an integer number (101624184).

Almost surely, 2^1007772801 is an apocalyptic number.

It is an amenable number.

1007772801 is a deficient number, since it is larger than the sum of its proper divisors (618214143).

1007772801 is a wasteful number, since it uses less digits than its factorization.

1007772801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822920.

The product of its (nonzero) digits is 5488, while the sum is 33.

The square root of 1007772801 is about 31745.4374832038. The cubic root of 1007772801 is about 1002.5842495680.

The spelling of 1007772801 in words is "one billion, seven million, seven hundred seventy-two thousand, eight hundred one".