975067776 has 96 divisors (see below), whose sum is σ = 2970969300. Its totient is φ = 305897472.

The previous prime is 975067757. The next prime is 975067777. The reversal of 975067776 is 677760579.

It can be written as a sum of positive squares in 2 ways, for example, as 974938176 + 129600 = 31224^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (975067777) 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 11 ways as a sum of consecutive naturals, for example, 5311 + ... + 44478.

Almost surely, 2^975067776 is an apocalyptic number.

975067776 is a gapful number since it is divisible by the number (96) 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 975067776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485484650).

975067776 is an abundant number, since it is smaller than the sum of its proper divisors (1995901524).

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

975067776 is a wasteful number, since it uses less digits than its factorization.

975067776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49826 (or 49811 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The square root of 975067776 is about 31226.0752577073. The cubic root of 975067776 is about 991.6192173642.

The spelling of 975067776 in words is "nine hundred seventy-five million, sixty-seven thousand, seven hundred seventy-six".