77219460000 has 480 divisors, whose sum is σ = 291203035200. Its totient is φ = 19877760000.

The previous prime is 77219459969. The next prime is 77219460011. The reversal of 77219460000 is 6491277.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15657535 + ... + 15662465.

It is an arithmetic number, because the mean of its divisors is an integer number (606672990).

Almost surely, 2^77219460000 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 77219460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145601517600).

77219460000 is an abundant number, since it is smaller than the sum of its proper divisors (213983575200).

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

77219460000 is a wasteful number, since it uses less digits than its factorization.

77219460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 77219460000 in words is "seventy-seven billion, two hundred nineteen million, four hundred sixty thousand".