76438320 has 160 divisors (see below), whose sum is σ = 273411072. Its totient is φ = 17304576.

The previous prime is 76438301. The next prime is 76438331. The reversal of 76438320 is 2383467.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290509 + ... + 290771.

Almost surely, 2^76438320 is an apocalyptic number.

76438320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136705536).

76438320 is an abundant number, since it is smaller than the sum of its proper divisors (196972752).

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

76438320 is a wasteful number, since it uses less digits than its factorization.

76438320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 76438320 is about 8742.9011203376. The cubic root of 76438320 is about 424.3951164366.

The spelling of 76438320 in words is "seventy-six million, four hundred thirty-eight thousand, three hundred twenty".