76428768 has 96 divisors (see below), whose sum is σ = 220824576. Its totient is φ = 22998528.

The previous prime is 76428763. The next prime is 76428827. The reversal of 76428768 is 86782467.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76428763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58005 + ... + 59307.

It is an arithmetic number, because the mean of its divisors is an integer number (2300256).

Almost surely, 2^76428768 is an apocalyptic number.

76428768 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 76428768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110412288).

76428768 is an abundant number, since it is smaller than the sum of its proper divisors (144395808).

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

76428768 is a wasteful number, since it uses less digits than its factorization.

76428768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1368 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 76428768 is about 8742.3548315085. The cubic root of 76428768 is about 424.3774377338.

The spelling of 76428768 in words is "seventy-six million, four hundred twenty-eight thousand, seven hundred sixty-eight".