76054366080 has 1728 divisors, whose sum is σ = 358267749840. Its totient is φ = 14760345600.

The previous prime is 76054366043. The next prime is 76054366081. The reversal of 76054366080 is 8066345067.

76054366080 is a `hidden beast` number, since 7 + 6 + 0 + 5 + 4 + 36 + 608 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76054366081) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 580567615 + ... + 580567745.

Almost surely, 2^76054366080 is an apocalyptic number.

76054366080 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 76054366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179133874920).

76054366080 is an abundant number, since it is smaller than the sum of its proper divisors (282213383760).

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

76054366080 is a wasteful number, since it uses less digits than its factorization.

76054366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 76054366080 in words is "seventy-six billion, fifty-four million, three hundred sixty-six thousand, eighty".