77351040 has 192 divisors, whose sum is σ = 287927640. Its totient is φ = 19021824.

The previous prime is 77351011. The next prime is 77351069. The reversal of 77351040 is 4015377.

It is an interprime number because it is at equal distance from previous prime (77351011) and next prime (77351069).

It can be written as a sum of positive squares in 4 ways, for example, as 67765824 + 9585216 = 8232^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 77350995 and 77351013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74364 + ... + 75396.

Almost surely, 2^77351040 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 77351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143963820).

77351040 is an abundant number, since it is smaller than the sum of its proper divisors (210576600).

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

77351040 is a wasteful number, since it uses less digits than its factorization.

77351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 77351040 is about 8794.9440020957. The cubic root of 77351040 is about 426.0776159576.

The spelling of 77351040 in words is "seventy-seven million, three hundred fifty-one thousand, forty".