76428450 has 144 divisors (see below), whose sum is σ = 247216320. Its totient is φ = 16536960.

The previous prime is 76428449. The next prime is 76428461. The reversal of 76428450 is 5482467.

76428450 is a `hidden beast` number, since 7 + 642 + 8 + 4 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59212 + ... + 60488.

It is an arithmetic number, because the mean of its divisors is an integer number (1716780).

Almost surely, 2^76428450 is an apocalyptic number.

76428450 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76428450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123608160).

76428450 is an abundant number, since it is smaller than the sum of its proper divisors (170787870).

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

76428450 is a wasteful number, since it uses less digits than its factorization.

76428450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 76428450 is about 8742.3366441701. The cubic root of 76428450 is about 424.3768491586.

The spelling of 76428450 in words is "seventy-six million, four hundred twenty-eight thousand, four hundred fifty".