77419008 has 120 divisors (see below), whose sum is σ = 228370428. Its totient is φ = 25239552.

The previous prime is 77418983. The next prime is 77419021. The reversal of 77419008 is 80091477.

It can be written as a sum of positive squares in 2 ways, for example, as 75481344 + 1937664 = 8688^2 + 1392^2 .

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 11 ways as a sum of consecutive naturals, for example, 244066 + ... + 244382.

Almost surely, 2^77419008 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 77419008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114185214).

77419008 is an abundant number, since it is smaller than the sum of its proper divisors (150951420).

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

77419008 is a wasteful number, since it uses less digits than its factorization.

77419008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 77419008 is about 8798.8071918869. The cubic root of 77419008 is about 426.2023768973.

The spelling of 77419008 in words is "seventy-seven million, four hundred nineteen thousand, eight".