76824591480 has 512 divisors, whose sum is σ = 320544000000. Its totient is φ = 15933210624.

The previous prime is 76824591451. The next prime is 76824591491. The reversal of 76824591480 is 8419542867.

It is a happy number.

76824591480 is a `hidden beast` number, since 7 + 6 + 8 + 2 + 4 + 591 + 48 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 5791896 + ... + 5805144.

It is an arithmetic number, because the mean of its divisors is an integer number (626062500).

Almost surely, 2^76824591480 is an apocalyptic number.

76824591480 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 76824591480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160272000000).

76824591480 is an abundant number, since it is smaller than the sum of its proper divisors (243719408520).

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

76824591480 is a wasteful number, since it uses less digits than its factorization.

76824591480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13348 (or 13338 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 76824591480 in words is "seventy-six billion, eight hundred twenty-four million, five hundred ninety-one thousand, four hundred eighty".