77616000 has 576 divisors, whose sum is σ = 353723760. Its totient is φ = 16128000.

The previous prime is 77615987. The next prime is 77616001. The reversal of 77616000 is 61677.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77616001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7055995 + ... + 7056005.

Almost surely, 2^77616000 is an apocalyptic number.

77616000 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 77616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176861880).

77616000 is an abundant number, since it is smaller than the sum of its proper divisors (276107760).

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

77616000 is a wasteful number, since it uses less digits than its factorization.

77616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 77616000 is about 8809.9943246293. The cubic root of 77616000 is about 426.5635601552.

Adding to 77616000 its reverse (61677), we get a palindrome (77677677).

The spelling of 77616000 in words is "seventy-seven million, six hundred sixteen thousand".