76121320 has 64 divisors (see below), whose sum is σ = 188619840. Its totient is φ = 27417600.

The previous prime is 76121299. The next prime is 76121369. The reversal of 76121320 is 2312167.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 76121291 and 76121300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48955 + ... + 50485.

It is an arithmetic number, because the mean of its divisors is an integer number (2947185).

Almost surely, 2^76121320 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 76121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94309920).

76121320 is an abundant number, since it is smaller than the sum of its proper divisors (112498520).

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

76121320 is a wasteful number, since it uses less digits than its factorization.

76121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 76121320 is about 8724.7532916410. The cubic root of 76121320 is about 423.8076290026.

Adding to 76121320 its reverse (2312167), we get a palindrome (78433487).

The spelling of 76121320 in words is "seventy-six million, one hundred twenty-one thousand, three hundred twenty".