76160609280 has 1584 divisors, whose sum is σ = 345082932480. Its totient is φ = 15160836096.

The previous prime is 76160609269. The next prime is 76160609333. The reversal of 76160609280 is 8290606167.

76160609280 is a `hidden beast` number, since 7 + 6 + 16 + 0 + 609 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1771176939 + ... + 1771176981.

Almost surely, 2^76160609280 is an apocalyptic number.

76160609280 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 76160609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172541466240).

76160609280 is an abundant number, since it is smaller than the sum of its proper divisors (268922323200).

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

76160609280 is a wasteful number, since it uses less digits than its factorization.

76160609280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 76160609280 in words is "seventy-six billion, one hundred sixty million, six hundred nine thousand, two hundred eighty".