75820374 has 224 divisors, whose sum is σ = 226644480. Its totient is φ = 18475776.

The previous prime is 75820361. The next prime is 75820421. The reversal of 75820374 is 47302857.

75820374 is a `hidden beast` number, since 7 + 582 + 0 + 3 + 74 = 666.

It is a super-2 number, since 2×75820374² = 11497458226999752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 3296527 + ... + 3296549.

Almost surely, 2^75820374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75820374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113322240).

75820374 is an abundant number, since it is smaller than the sum of its proper divisors (150824106).

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

75820374 is a wasteful number, since it uses less digits than its factorization.

75820374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 75820374 is about 8707.4895348774. The cubic root of 75820374 is about 423.2483828687.

The spelling of 75820374 in words is "seventy-five million, eight hundred twenty thousand, three hundred seventy-four".