77974128 has 120 divisors (see below), whose sum is σ = 229110336. Its totient is φ = 24729600.

The previous prime is 77974111. The next prime is 77974139. The reversal of 77974128 is 82147977.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277348 + ... + 277628.

Almost surely, 2^77974128 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 77974128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114555168).

77974128 is an abundant number, since it is smaller than the sum of its proper divisors (151136208).

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

77974128 is a wasteful number, since it uses less digits than its factorization.

77974128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 374 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 77974128 is about 8830.2960312778. The cubic root of 77974128 is about 427.2186226785.

Subtracting 77974128 from its reverse (82147977), we obtain a square (4173849 = 2043²).

The spelling of 77974128 in words is "seventy-seven million, nine hundred seventy-four thousand, one hundred twenty-eight".