75400416 has 288 divisors, whose sum is σ = 277512480. Its totient is φ = 19740672.

The previous prime is 75400399. The next prime is 75400421. The reversal of 75400416 is 61400457.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 75400416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550300 + ... + 550436.

It is an arithmetic number, because the mean of its divisors is an integer number (963585).

Almost surely, 2^75400416 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 75400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138756240).

75400416 is an abundant number, since it is smaller than the sum of its proper divisors (202112064).

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

75400416 is a wasteful number, since it uses less digits than its factorization.

75400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75400416 is about 8683.3412923828. The cubic root of 75400416 is about 422.4654986241.

The spelling of 75400416 in words is "seventy-five million, four hundred thousand, four hundred sixteen".