77019768 has 192 divisors, whose sum is σ = 262656000. Its totient is φ = 20793024.

The previous prime is 77019757. The next prime is 77019791. The reversal of 77019768 is 86791077.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200905 + ... + 201287.

It is an arithmetic number, because the mean of its divisors is an integer number (1368000).

Almost surely, 2^77019768 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 77019768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328000).

77019768 is an abundant number, since it is smaller than the sum of its proper divisors (185636232).

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

77019768 is a wasteful number, since it uses less digits than its factorization.

77019768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 77019768 is about 8776.0907014456. The cubic root of 77019768 is about 425.4684900695.

The spelling of 77019768 in words is "seventy-seven million, nineteen thousand, seven hundred sixty-eight".