76810720 has 48 divisors (see below), whose sum is σ = 207391968. Its totient is φ = 26334720.

The previous prime is 76810717. The next prime is 76810729. The reversal of 76810720 is 2701867.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76810729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33171 + ... + 35410.

It is an arithmetic number, because the mean of its divisors is an integer number (4320666).

Almost surely, 2^76810720 is an apocalyptic number.

76810720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76810720 is an abundant number, since it is smaller than the sum of its proper divisors (130581248).

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

76810720 is a wasteful number, since it uses less digits than its factorization.

76810720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68603 (or 68595 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 76810720 is about 8764.1725222636. The cubic root of 76810720 is about 425.0832040096.

The spelling of 76810720 in words is "seventy-six million, eight hundred ten thousand, seven hundred twenty".