76500720 has 160 divisors (see below), whose sum is σ = 266768640. Its totient is φ = 20148480.

The previous prime is 76500703. The next prime is 76500727. The reversal of 76500720 is 2700567.

76500720 is a `hidden beast` number, since 7 + 650 + 0 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76500727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230955 + ... + 231285.

It is an arithmetic number, because the mean of its divisors is an integer number (1667304).

Almost surely, 2^76500720 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 76500720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133384320).

76500720 is an abundant number, since it is smaller than the sum of its proper divisors (190267920).

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

76500720 is a wasteful number, since it uses less digits than its factorization.

76500720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 76500720 is about 8746.4690018315. The cubic root of 76500720 is about 424.5105692283.

The spelling of 76500720 in words is "seventy-six million, five hundred thousand, seven hundred twenty".