76369920 has 208 divisors, whose sum is σ = 268926912. Its totient is φ = 18350080.

The previous prime is 76369889. The next prime is 76369927. The reversal of 76369920 is 2996367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76369927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675784 + ... + 675896.

Almost surely, 2^76369920 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 76369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134463456).

76369920 is an abundant number, since it is smaller than the sum of its proper divisors (192556992).

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

76369920 is a wasteful number, since it uses less digits than its factorization.

76369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 76369920 is about 8738.9884998208. The cubic root of 76369920 is about 424.2684902063.

The spelling of 76369920 in words is "seventy-six million, three hundred sixty-nine thousand, nine hundred twenty".