77059067904 has 1248 divisors, whose sum is σ = 306985574400. Its totient is φ = 18632540160.

The previous prime is 77059067893. The next prime is 77059067951. The reversal of 77059067904 is 40976095077.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1248).

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 95 ways as a sum of consecutive naturals, for example, 2485776369 + ... + 2485776399.

Almost surely, 2^77059067904 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 77059067904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153492787200).

77059067904 is an abundant number, since it is smaller than the sum of its proper divisors (229926506496).

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

77059067904 is a wasteful number, since it uses less digits than its factorization.

77059067904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 77059067904 in words is "seventy-seven billion, fifty-nine million, sixty-seven thousand, nine hundred four".