77280804 has 72 divisors (see below), whose sum is σ = 207407200. Its totient is φ = 25161192.

The previous prime is 77280769. The next prime is 77280811. The reversal of 77280804 is 40808277.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×77280804³ (a number of 25 digits) contains 333 as substring.

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, 1797207 + ... + 1797249.

Almost surely, 2^77280804 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 77280804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103703600).

77280804 is an abundant number, since it is smaller than the sum of its proper divisors (130126396).

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

77280804 is an frugal number, since it uses more digits than its factorization.

77280804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 77280804 is about 8790.9501192988. The cubic root of 77280804 is about 425.9486151074.

77280804 divided by its sum of digits (36) gives a cube (2146689 = 129³).

The spelling of 77280804 in words is "seventy-seven million, two hundred eighty thousand, eight hundred four".