76353816 has 128 divisors (see below), whose sum is σ = 241459200. Its totient is φ = 19543680.

The previous prime is 76353811. The next prime is 76353857. The reversal of 76353816 is 61835367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76353811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145731 + ... + 146253.

It is an arithmetic number, because the mean of its divisors is an integer number (1886400).

Almost surely, 2^76353816 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 76353816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120729600).

76353816 is an abundant number, since it is smaller than the sum of its proper divisors (165105384).

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

76353816 is a wasteful number, since it uses less digits than its factorization.

76353816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 625 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 76353816 is about 8738.0670631439. The cubic root of 76353816 is about 424.2386665093.

The spelling of 76353816 in words is "seventy-six million, three hundred fifty-three thousand, eight hundred sixteen".