77705040 has 160 divisors (see below), whose sum is σ = 287410176. Its totient is φ = 16980480.

The previous prime is 77705039. The next prime is 77705083. The reversal of 77705040 is 4050777.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 77704989 and 77705007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37635 + ... + 39645.

Almost surely, 2^77705040 is an apocalyptic number.

77705040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143705088).

77705040 is an abundant number, since it is smaller than the sum of its proper divisors (209705136).

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

77705040 is a wasteful number, since it uses less digits than its factorization.

77705040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 77705040 is about 8815.0462278992. The cubic root of 77705040 is about 426.7266137558.

The spelling of 77705040 in words is "seventy-seven million, seven hundred five thousand, forty".