76703328 has 96 divisors (see below), whose sum is σ = 240962400. Its totient is φ = 23597568.

The previous prime is 76703327. The next prime is 76703351. The reversal of 76703328 is 82330767.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 76703292 and 76703301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76703327) 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, 7818 + ... + 14646.

It is an arithmetic number, because the mean of its divisors is an integer number (2510025).

Almost surely, 2^76703328 is an apocalyptic number.

76703328 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 76703328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120481200).

76703328 is an abundant number, since it is smaller than the sum of its proper divisors (164259072).

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

76703328 is a wasteful number, since it uses less digits than its factorization.

76703328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6861 (or 6847 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 76703328 is about 8758.0436171556. The cubic root of 76703328 is about 424.8850032583.

The spelling of 76703328 in words is "seventy-six million, seven hundred three thousand, three hundred twenty-eight".