77050890 has 192 divisors, whose sum is σ = 248451840. Its totient is φ = 16174080.

The previous prime is 77050877. The next prime is 77050927. The reversal of 77050890 is 9805077.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 490692 + ... + 490848.

It is an arithmetic number, because the mean of its divisors is an integer number (1294020).

Almost surely, 2^77050890 is an apocalyptic number.

77050890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77050890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124225920).

77050890 is an abundant number, since it is smaller than the sum of its proper divisors (171400950).

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

77050890 is a wasteful number, since it uses less digits than its factorization.

77050890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 77050890 is about 8777.8636353044. The cubic root of 77050890 is about 425.5257898492.

The spelling of 77050890 in words is "seventy-seven million, fifty thousand, eight hundred ninety".