77123040 has 192 divisors, whose sum is σ = 257789952. Its totient is φ = 19353600.

The previous prime is 77123027. The next prime is 77123041. The reversal of 77123040 is 4032177.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 77123040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77123041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056444 + ... + 1056516.

It is an arithmetic number, because the mean of its divisors is an integer number (1342656).

Almost surely, 2^77123040 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 77123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128894976).

77123040 is an abundant number, since it is smaller than the sum of its proper divisors (180666912).

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

77123040 is a wasteful number, since it uses less digits than its factorization.

77123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 77123040 is about 8781.9724435915. The cubic root of 77123040 is about 425.6585683621.

The spelling of 77123040 in words is "seventy-seven million, one hundred twenty-three thousand, forty".