77073408 has 66 divisors (see below), whose sum is σ = 222574404. Its totient is φ = 25688064.

The previous prime is 77073407. The next prime is 77073413. The reversal of 77073408 is 80437077.

It is a happy number.

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 (77073401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5035 + ... + 13397.

Almost surely, 2^77073408 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 77073408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111287202).

77073408 is an abundant number, since it is smaller than the sum of its proper divisors (145500996).

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

77073408 is a wasteful number, since it uses less digits than its factorization.

77073408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8389 (or 8368 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 77073408 is about 8779.1461999445. The cubic root of 77073408 is about 425.5672388900.

The spelling of 77073408 in words is "seventy-seven million, seventy-three thousand, four hundred eight".