76742613613760 has 224 divisors, whose sum is σ = 195997733683200. Its totient is φ = 28533564334080.

The previous prime is 76742613613739. The next prime is 76742613613781. The reversal of 76742613613760 is 6731631624767.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76742613613739) and next prime (76742613613781).

It is a super-2 number, since 2×76742613613760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 76742613613760.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186687809 + ... + 187098431.

Almost surely, 2^{76742613613760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76742613613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97998866841600).

76742613613760 is an abundant number, since it is smaller than the sum of its proper divisors (119255120069440).

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

76742613613760 is a wasteful number, since it uses less digits than its factorization.

76742613613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411239 (or 411229 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 59.

The spelling of 76742613613760 in words is "seventy-six trillion, seven hundred forty-two billion, six hundred thirteen million, six hundred thirteen thousand, seven hundred sixty".