1975376000 has 128 divisors (see below), whose sum is σ = 5289626160. Its totient is φ = 729292800.

The previous prime is 1975375967. The next prime is 1975376003. The reversal of 1975376000 is 6735791.

It can be written as a sum of positive squares in 8 ways, for example, as 171505216 + 1803870784 = 13096^2 + 42472^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1975376000² = 7804220682752000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1975376003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203252 + ... + 212748.

Almost surely, 2^1975376000 is an apocalyptic number.

1975376000 is a gapful number since it is divisible by the number (10) 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 1975376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644813080).

1975376000 is an abundant number, since it is smaller than the sum of its proper divisors (3314250160).

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

1975376000 is an equidigital number, since it uses as much as digits as its factorization.

1975376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9539 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 38.

The square root of 1975376000 is about 44445.2022157623. The cubic root of 1975376000 is about 1254.7289669364.

The spelling of 1975376000 in words is "one billion, nine hundred seventy-five million, three hundred seventy-six thousand".