77996006499840 has 1440 divisors, whose sum is σ = 298400728193568. Its totient is φ = 17358166425600.

The previous prime is 77996006499839. The next prime is 77996006499919. The reversal of 77996006499840 is 4899460069977.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30938517780 + ... + 30938520300.

Almost surely, 2^{77996006499840} 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 77996006499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149200364096784).

77996006499840 is an abundant number, since it is smaller than the sum of its proper divisors (220404721693728).

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

77996006499840 is a wasteful number, since it uses less digits than its factorization.

77996006499840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 78.

The spelling of 77996006499840 in words is "seventy-seven trillion, nine hundred ninety-six billion, six million, four hundred ninety-nine thousand, eight hundred forty".