76630720320 has 1344 divisors, whose sum is σ = 346185695232. Its totient is φ = 15095808000.

The previous prime is 76630720301. The next prime is 76630720349. The reversal of 76630720320 is 2302703667.

76630720320 is a `hidden beast` number, since 7 + 6 + 6 + 307 + 20 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 488093682 + ... + 488093838.

Almost surely, 2^76630720320 is an apocalyptic number.

76630720320 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 76630720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173092847616).

76630720320 is an abundant number, since it is smaller than the sum of its proper divisors (269554974912).

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

76630720320 is a wasteful number, since it uses less digits than its factorization.

76630720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 76630720320 in words is "seventy-six billion, six hundred thirty million, seven hundred twenty thousand, three hundred twenty".