76640928 has 192 divisors, whose sum is σ = 256499712. Its totient is φ = 19491840.

The previous prime is 76640909. The next prime is 76640929. The reversal of 76640928 is 82904667.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 76640928.

It is not an unprimeable number, because it can be changed into a prime (76640929) 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, 270675 + ... + 270957.

It is an arithmetic number, because the mean of its divisors is an integer number (1335936).

Almost surely, 2^76640928 is an apocalyptic number.

76640928 is a gapful number since it is divisible by the number (78) 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 76640928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128249856).

76640928 is an abundant number, since it is smaller than the sum of its proper divisors (179858784).

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

76640928 is a wasteful number, since it uses less digits than its factorization.

76640928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 76640928 is about 8754.4804528881. The cubic root of 76640928 is about 424.7697539475.

The spelling of 76640928 in words is "seventy-six million, six hundred forty thousand, nine hundred twenty-eight".