77450016 has 96 divisors (see below), whose sum is σ = 242500608. Its totient is φ = 21162240.

The previous prime is 77450003. The next prime is 77450029. The reversal of 77450016 is 61005477.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77450003) and next prime (77450029).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12951 + ... + 17961.

It is an arithmetic number, because the mean of its divisors is an integer number (2526048).

Almost surely, 2^77450016 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 77450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121250304).

77450016 is an abundant number, since it is smaller than the sum of its proper divisors (165050592).

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

77450016 is a wasteful number, since it uses less digits than its factorization.

77450016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 77450016 is about 8800.5690725089. The cubic root of 77450016 is about 426.2592704158.

The spelling of 77450016 in words is "seventy-seven million, four hundred fifty thousand, sixteen".