76320820 has 24 divisors (see below), whose sum is σ = 169702344. Its totient is φ = 28732416.

The previous prime is 76320787. The next prime is 76320823. The reversal of 76320820 is 2802367.

It can be written as a sum of positive squares in 4 ways, for example, as 17522596 + 58798224 = 4186^2 + 7668^2 .

It is a super-3 number, since 3×76320820³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76320823) 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, 111897 + ... + 112576.

It is an arithmetic number, because the mean of its divisors is an integer number (7070931).

Almost surely, 2^76320820 is an apocalyptic number.

It is an amenable number.

76320820 is an abundant number, since it is smaller than the sum of its proper divisors (93381524).

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

76320820 is a wasteful number, since it uses less digits than its factorization.

76320820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224499 (or 224497 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 76320820 is about 8736.1787985366. The cubic root of 76320820 is about 424.1775466829.

The spelling of 76320820 in words is "seventy-six million, three hundred twenty thousand, eight hundred twenty".