76138755840 has 720 divisors, whose sum is σ = 317860804800. Its totient is φ = 17395015680.

The previous prime is 76138755839. The next prime is 76138755859. The reversal of 76138755840 is 4855783167.

It is a happy number.

76138755840 is a `hidden beast` number, since 7 + 6 + 1 + 3 + 87 + 558 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×76138755840² (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 79 ways as a sum of consecutive naturals, for example, 35561170 + ... + 35563310.

It is an arithmetic number, because the mean of its divisors is an integer number (441473340).

Almost surely, 2^76138755840 is an apocalyptic number.

76138755840 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 76138755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158930402400).

76138755840 is an abundant number, since it is smaller than the sum of its proper divisors (241722048960).

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

76138755840 is an equidigital number, since it uses as much as digits as its factorization.

76138755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 76138755840 in words is "seventy-six billion, one hundred thirty-eight million, seven hundred fifty-five thousand, eight hundred forty".