76406928480 has 192 divisors, whose sum is σ = 272470806720. Its totient is φ = 19990683648.

The previous prime is 76406928443. The next prime is 76406928497. The reversal of 76406928480 is 8482960467.

76406928480 is a `hidden beast` number, since 76 + 4 + 0 + 6 + 92 + 8 + 480 = 666.

It is a super-2 number, since 2×76406928480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62104 + ... + 395816.

It is an arithmetic number, because the mean of its divisors is an integer number (1419118785).

Almost surely, 2^76406928480 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 76406928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136235403360).

76406928480 is an abundant number, since it is smaller than the sum of its proper divisors (196063878240).

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

76406928480 is a wasteful number, since it uses less digits than its factorization.

76406928480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333790 (or 333776 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 76406928480 in words is "seventy-six billion, four hundred six million, nine hundred twenty-eight thousand, four hundred eighty".