76765320 has 320 divisors, whose sum is σ = 287496000. Its totient is φ = 18289152.

The previous prime is 76765279. The next prime is 76765361. The reversal of 76765320 is 2356767.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76765279) and next prime (76765361).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1785219 + ... + 1785261.

It is an arithmetic number, because the mean of its divisors is an integer number (898425).

Almost surely, 2^76765320 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 76765320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143748000).

76765320 is an abundant number, since it is smaller than the sum of its proper divisors (210730680).

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

76765320 is a wasteful number, since it uses less digits than its factorization.

76765320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 76765320 is about 8761.5820489224. The cubic root of 76765320 is about 424.9994371388. Note that the first 3 decimals are identical.

It can be divided in two parts, 7676 and 5320, that added together give a square (12996 = 114²).

The spelling of 76765320 in words is "seventy-six million, seven hundred sixty-five thousand, three hundred twenty".