76320720 has 240 divisors, whose sum is σ = 308730240. Its totient is φ = 16505856.

The previous prime is 76320719. The next prime is 76320737. The reversal of 76320720 is 2702367.

76320720 is a `hidden beast` number, since 7 + 632 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×76320720³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95362 + ... + 96158.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^76320720 is an apocalyptic number.

76320720 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 76320720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

76320720 is an abundant number, since it is smaller than the sum of its proper divisors (232409520).

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

76320720 is a wasteful number, since it uses less digits than its factorization.

76320720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 76320720 is about 8736.1730752086. The cubic root of 76320720 is about 424.1773614220.

The spelling of 76320720 in words is "seventy-six million, three hundred twenty thousand, seven hundred twenty".