77630040 has 96 divisors (see below), whose sum is σ = 253843200. Its totient is φ = 20574720.

The previous prime is 77630039. The next prime is 77630053. The reversal of 77630040 is 4003677.

It is a super-2 number, since 2×77630040² = 12052846220803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77629986 and 77630013.

It is a congruent number.

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, 68196 + ... + 69324.

It is an arithmetic number, because the mean of its divisors is an integer number (2644200).

Almost surely, 2^77630040 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 77630040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126921600).

77630040 is an abundant number, since it is smaller than the sum of its proper divisors (176213160).

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

77630040 is a wasteful number, since it uses less digits than its factorization.

77630040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 77630040 is about 8810.7911109049. The cubic root of 77630040 is about 426.5892790418.

The spelling of 77630040 in words is "seventy-seven million, six hundred thirty thousand, forty".