77474016 has 48 divisors (see below), whose sum is σ = 225968400. Its totient is φ = 25824384.

The previous prime is 77473999. The next prime is 77474027. The reversal of 77474016 is 61047477.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43971 + ... + 45698.

It is an arithmetic number, because the mean of its divisors is an integer number (4707675).

Almost surely, 2^77474016 is an apocalyptic number.

It is an amenable number.

77474016 is an abundant number, since it is smaller than the sum of its proper divisors (148494384).

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

77474016 is a wasteful number, since it uses less digits than its factorization.

77474016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89688 (or 89674 counting only the distinct ones).

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

The square root of 77474016 is about 8801.9325150787. The cubic root of 77474016 is about 426.3032952226.

The spelling of 77474016 in words is "seventy-seven million, four hundred seventy-four thousand, sixteen".