77924616 has 128 divisors (see below), whose sum is σ = 245376000. Its totient is φ = 20033280.

The previous prime is 77924611. The next prime is 77924657. The reversal of 77924616 is 61642977.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (77924611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275211 + ... + 275493.

It is an arithmetic number, because the mean of its divisors is an integer number (1917000).

Almost surely, 2^77924616 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 77924616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122688000).

77924616 is an abundant number, since it is smaller than the sum of its proper divisors (167451384).

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

77924616 is a wasteful number, since it uses less digits than its factorization.

77924616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 77924616 is about 8827.4920560712. The cubic root of 77924616 is about 427.1281784602.

The spelling of 77924616 in words is "seventy-seven million, nine hundred twenty-four thousand, six hundred sixteen".