76633920 has 336 divisors, whose sum is σ = 299557440. Its totient is φ = 17817600.

The previous prime is 76633913. The next prime is 76633927. The reversal of 76633920 is 2933667.

It is an interprime number because it is at equal distance from previous prime (76633913) and next prime (76633927).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76633927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1298851 + ... + 1298909.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^76633920 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 76633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

76633920 is an abundant number, since it is smaller than the sum of its proper divisors (222923520).

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

76633920 is a wasteful number, since it uses less digits than its factorization.

76633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 76633920 is about 8754.0801915450. The cubic root of 76633920 is about 424.7568066566.

The spelling of 76633920 in words is "seventy-six million, six hundred thirty-three thousand, nine hundred twenty".