76433908320 has 1728 divisors, whose sum is σ = 358166914560. Its totient is φ = 14631321600.

The previous prime is 76433908303. The next prime is 76433908337. The reversal of 76433908320 is 2380933467.

It is an interprime number because it is at equal distance from previous prime (76433908303) and next prime (76433908337).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1047039804 + ... + 1047039876.

It is an arithmetic number, because the mean of its divisors is an integer number (207272520).

Almost surely, 2^76433908320 is an apocalyptic number.

76433908320 is a gapful number since it is divisible by the number (70) 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 76433908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179083457280).

76433908320 is an abundant number, since it is smaller than the sum of its proper divisors (281733006240).

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

76433908320 is a wasteful number, since it uses less digits than its factorization.

76433908320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 76433908320 in words is "seventy-six billion, four hundred thirty-three million, nine hundred eight thousand, three hundred twenty".