77213808 has 180 divisors, whose sum is σ = 260215488. Its totient is φ = 21288960.

The previous prime is 77213803. The next prime is 77213827. The reversal of 77213808 is 80831277.

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 (77213803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 218560 + ... + 218912.

Almost surely, 2^77213808 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 77213808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130107744).

77213808 is an abundant number, since it is smaller than the sum of its proper divisors (183001680).

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

77213808 is a wasteful number, since it uses less digits than its factorization.

77213808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 77213808 is about 8787.1387834721. The cubic root of 77213808 is about 425.8254922348.

The spelling of 77213808 in words is "seventy-seven million, two hundred thirteen thousand, eight hundred eight".