76489920 has 280 divisors, whose sum is σ = 294308784. Its totient is φ = 18745344.

The previous prime is 76489879. The next prime is 76489937. The reversal of 76489920 is 2998467.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336847 + ... + 337073.

Almost surely, 2^76489920 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 76489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147154392).

76489920 is an abundant number, since it is smaller than the sum of its proper divisors (217818864).

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

76489920 is a wasteful number, since it uses less digits than its factorization.

76489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 76489920 is about 8745.8515880388. The cubic root of 76489920 is about 424.4905915082.

The spelling of 76489920 in words is "seventy-six million, four hundred eighty-nine thousand, nine hundred twenty".