75786450 has 48 divisors (see below), whose sum is σ = 192550176. Its totient is φ = 19715200.

The previous prime is 75786443. The next prime is 75786457. The reversal of 75786450 is 5468757.

It is an interprime number because it is at equal distance from previous prime (75786443) and next prime (75786457).

It is not an unprimeable number, because it can be changed into a prime (75786457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12 + ... + 12311.

It is an arithmetic number, because the mean of its divisors is an integer number (4011462).

Almost surely, 2^75786450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75786450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96275088).

75786450 is an abundant number, since it is smaller than the sum of its proper divisors (116763726).

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

75786450 is a wasteful number, since it uses less digits than its factorization.

75786450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12379 (or 12374 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 75786450 is about 8705.5413387106. The cubic root of 75786450 is about 423.1852493540.

It can be divided in two parts, 7578 and 6450, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 75786450 in words is "seventy-five million, seven hundred eighty-six thousand, four hundred fifty".