76647906720 has 768 divisors, whose sum is σ = 345299189760. Its totient is φ = 15410995200.

The previous prime is 76647906719. The next prime is 76647906733. The reversal of 76647906720 is 2760974667.

It is a happy number.

It is a super-3 number, since 3×76647906720³ (a number of 34 digits) contains 333 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10308124 + ... + 10315556.

It is an arithmetic number, because the mean of its divisors is an integer number (449608320).

Almost surely, 2^76647906720 is an apocalyptic number.

76647906720 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 76647906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172649594880).

76647906720 is an abundant number, since it is smaller than the sum of its proper divisors (268651283040).

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

76647906720 is a wasteful number, since it uses less digits than its factorization.

76647906720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7506 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 76647906720 in words is "seventy-six billion, six hundred forty-seven million, nine hundred six thousand, seven hundred twenty".