75794400 has 432 divisors, whose sum is σ = 311698800. Its totient is φ = 17740800.

The previous prime is 75794377. The next prime is 75794431. The reversal of 75794400 is 449757.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2613586 + ... + 2613614.

It is an arithmetic number, because the mean of its divisors is an integer number (721525).

Almost surely, 2^75794400 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 75794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155849400).

75794400 is an abundant number, since it is smaller than the sum of its proper divisors (235904400).

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

75794400 is a wasteful number, since it uses less digits than its factorization.

75794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 75794400 is about 8705.9979324601. The cubic root of 75794400 is about 423.2000462167.

Adding to 75794400 its sum of digits (36), we get a square (75794436 = 8706²).

The spelling of 75794400 in words is "seventy-five million, seven hundred ninety-four thousand, four hundred".