75354840 has 128 divisors (see below), whose sum is σ = 274060800. Its totient is φ = 18264960.

The previous prime is 75354823. The next prime is 75354869. The reversal of 75354840 is 4845357.

75354840 is a `hidden beast` number, since 75 + 3 + 548 + 40 = 666.

It is a super-2 number, since 2×75354840² = 11356703822851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75354795 and 75354804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8709 + ... + 15051.

It is an arithmetic number, because the mean of its divisors is an integer number (2141100).

Almost surely, 2^75354840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75354840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137030400).

75354840 is an abundant number, since it is smaller than the sum of its proper divisors (198705960).

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

75354840 is a wasteful number, since it uses less digits than its factorization.

75354840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 75354840 is about 8680.7165602846. The cubic root of 75354840 is about 422.3803613029.

The spelling of 75354840 in words is "seventy-five million, three hundred fifty-four thousand, eight hundred forty".