76225121280 has 1980 divisors, whose sum is σ = 360521308224. Its totient is φ = 15328051200.

The previous prime is 76225121257. The next prime is 76225121299. The reversal of 76225121280 is 8212152267.

It is a happy number.

76225121280 is a `hidden beast` number, since 7 + 62 + 2 + 512 + 1 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

It is a super-2 number, since 2×76225121280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2458874865 + ... + 2458874895.

Almost surely, 2^76225121280 is an apocalyptic number.

76225121280 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 76225121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180260654112).

76225121280 is an abundant number, since it is smaller than the sum of its proper divisors (284296186944).

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

76225121280 is a wasteful number, since it uses less digits than its factorization.

76225121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 76225121280 in words is "seventy-six billion, two hundred twenty-five million, one hundred twenty-one thousand, two hundred eighty".