77117040 has 480 divisors, whose sum is σ = 350977536. Its totient is φ = 14653440.

The previous prime is 77117021. The next prime is 77117081. The reversal of 77117040 is 4071177.

It is a junction number, because it is equal to n+sod(n) for n = 77116995 and 77117013.

It is a congruent number.

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, 720667 + ... + 720773.

Almost surely, 2^77117040 is an apocalyptic number.

77117040 is a gapful number since it is divisible by the number (70) 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 77117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

77117040 is an abundant number, since it is smaller than the sum of its proper divisors (273860496).

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

77117040 is a wasteful number, since it uses less digits than its factorization.

77117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 77117040 is about 8781.6308280410. The cubic root of 77117040 is about 425.6475296477.

The spelling of 77117040 in words is "seventy-seven million, one hundred seventeen thousand, forty".