77700480 has 256 divisors, whose sum is σ = 291997440. Its totient is φ = 17326080.

The previous prime is 77700473. The next prime is 77700517. The reversal of 77700480 is 8400777.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274419 + ... + 274701.

It is an arithmetic number, because the mean of its divisors is an integer number (1140615).

Almost surely, 2^77700480 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 77700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145998720).

77700480 is an abundant number, since it is smaller than the sum of its proper divisors (214296960).

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

77700480 is a wasteful number, since it uses less digits than its factorization.

77700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 77700480 is about 8814.7875754325. The cubic root of 77700480 is about 426.7182663289.

The spelling of 77700480 in words is "seventy-seven million, seven hundred thousand, four hundred eighty".