77620608 has 192 divisors, whose sum is σ = 247272480. Its totient is φ = 23224320.

The previous prime is 77620603. The next prime is 77620619. The reversal of 77620608 is 80602677.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77620603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1063260 + ... + 1063332.

Almost surely, 2^77620608 is an apocalyptic number.

77620608 is a gapful number since it is divisible by the number (78) 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 77620608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123636240).

77620608 is an abundant number, since it is smaller than the sum of its proper divisors (169651872).

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

77620608 is a wasteful number, since it uses less digits than its factorization.

77620608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 77620608 is about 8810.2558419151. The cubic root of 77620608 is about 426.5720015675.

The spelling of 77620608 in words is "seventy-seven million, six hundred twenty thousand, six hundred eight".