75404980 has 48 divisors (see below), whose sum is σ = 182439936. Its totient is φ = 25643520.

The previous prime is 75404969. The next prime is 75405007. The reversal of 75404980 is 8940457.

It is a super-2 number, since 2×75404980² = 11371822017600800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15660 + ... + 19900.

It is an arithmetic number, because the mean of its divisors is an integer number (3800832).

Almost surely, 2^75404980 is an apocalyptic number.

75404980 is a gapful number since it is divisible by the number (70) 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 75404980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91219968).

75404980 is an abundant number, since it is smaller than the sum of its proper divisors (107034956).

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

75404980 is a wasteful number, since it uses less digits than its factorization.

75404980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 75404980 is about 8683.6040904684. The cubic root of 75404980 is about 422.4740224216.

The spelling of 75404980 in words is "seventy-five million, four hundred four thousand, nine hundred eighty".