76009235742720 has 1088 divisors, whose sum is σ = 315444150743040. Its totient is φ = 17003238653952.

The previous prime is 76009235742707. The next prime is 76009235742731. The reversal of 76009235742720 is 2724753290067.

It is a happy number.

76009235742720 is a `hidden beast` number, since 7 + 6 + 0 + 0 + 9 + 23 + 574 + 27 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2910768384 + ... + 2910794496.

Almost surely, 2^{76009235742720} is an apocalyptic number.

76009235742720 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 76009235742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157722075371520).

76009235742720 is an abundant number, since it is smaller than the sum of its proper divisors (239434915000320).

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

76009235742720 is an equidigital number, since it uses as much as digits as its factorization.

76009235742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26213 (or 26177 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 76009235742720 in words is "seventy-six trillion, nine billion, two hundred thirty-five million, seven hundred forty-two thousand, seven hundred twenty".