77488380 has 192 divisors, whose sum is σ = 267079680. Its totient is φ = 18551808.

The previous prime is 77488379. The next prime is 77488391. The reversal of 77488380 is 8388477.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210957 + ... + 211323.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 2^77488380 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 77488380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539840).

77488380 is an abundant number, since it is smaller than the sum of its proper divisors (189591300).

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

77488380 is a wasteful number, since it uses less digits than its factorization.

77488380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 77488380 is about 8802.7484344380. The cubic root of 77488380 is about 426.3296397204.

The spelling of 77488380 in words is "seventy-seven million, four hundred eighty-eight thousand, three hundred eighty".