77603904 has 168 divisors, whose sum is σ = 267858240. Its totient is φ = 20984832.

The previous prime is 77603899. The next prime is 77603917. The reversal of 77603904 is 40930677.

It is a tau number, because it is divible by the number of its divisors (168).

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

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, 76102 + ... + 77114.

Almost surely, 2^77603904 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 77603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133929120).

77603904 is an abundant number, since it is smaller than the sum of its proper divisors (190254336).

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

77603904 is a wasteful number, since it uses less digits than its factorization.

77603904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 77603904 is about 8809.3078048164. The cubic root of 77603904 is about 426.5413998579.

It can be divided in two parts, 7760 and 3904, that added together give a square (11664 = 108²).

The spelling of 77603904 in words is "seventy-seven million, six hundred three thousand, nine hundred four".