77433408 has 168 divisors, whose sum is σ = 248521728. Its totient is φ = 23763456.

The previous prime is 77433401. The next prime is 77433409. The reversal of 77433408 is 80433477.

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

It is not an unprimeable number, because it can be changed into a prime (77433401) 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, 201985 + ... + 202367.

It is an arithmetic number, because the mean of its divisors is an integer number (1479296).

Almost surely, 2^77433408 is an apocalyptic number.

77433408 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 77433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124260864).

77433408 is an abundant number, since it is smaller than the sum of its proper divisors (171088320).

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

77433408 is a wasteful number, since it uses less digits than its factorization.

77433408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 77433408 is about 8799.6254465744. The cubic root of 77433408 is about 426.2287999248.

It can be divided in two parts, 77433 and 408, that added together give a square (77841 = 279²).

The spelling of 77433408 in words is "seventy-seven million, four hundred thirty-three thousand, four hundred eight".