77612040 has 256 divisors, whose sum is σ = 290304000. Its totient is φ = 18282240.

The previous prime is 77612027. The next prime is 77612047. The reversal of 77612040 is 4021677.

77612040 is a `hidden beast` number, since 7 + 7 + 612 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 77611995 and 77612013.

It is not an unprimeable number, because it can be changed into a prime (77612047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 558291 + ... + 558429.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^77612040 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 77612040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

77612040 is an abundant number, since it is smaller than the sum of its proper divisors (212691960).

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

77612040 is a wasteful number, since it uses less digits than its factorization.

77612040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 77612040 is about 8809.7695770094. The cubic root of 77612040 is about 426.5563055495.

It can be divided in two parts, 7761 and 2040, that added together give a square (9801 = 99²).

The spelling of 77612040 in words is "seventy-seven million, six hundred twelve thousand, forty".