77040896 has 72 divisors (see below), whose sum is σ = 165809280. Its totient is φ = 35610624.

The previous prime is 77040883. The next prime is 77040911. The reversal of 77040896 is 69804077.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228440 + ... + 228776.

Almost surely, 2^77040896 is an apocalyptic number.

77040896 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77040896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82904640).

77040896 is an abundant number, since it is smaller than the sum of its proper divisors (88768384).

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

77040896 is a wasteful number, since it uses less digits than its factorization.

77040896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 77040896 is about 8777.2943439308. The cubic root of 77040896 is about 425.5073912358.

The spelling of 77040896 in words is "seventy-seven million, forty thousand, eight hundred ninety-six".