775117980 has 288 divisors, whose sum is σ = 2935296000. Its totient is φ = 161201664.

The previous prime is 775117933. The next prime is 775117991. The reversal of 775117980 is 89711577.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 1293721 + ... + 1294319.

It is an arithmetic number, because the mean of its divisors is an integer number (10192000).

Almost surely, 2^775117980 is an apocalyptic number.

775117980 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 775117980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648000).

775117980 is an abundant number, since it is smaller than the sum of its proper divisors (2160178020).

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

775117980 is a wasteful number, since it uses less digits than its factorization.

775117980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 45.

The square root of 775117980 is about 27840.9407168652. The cubic root of 775117980 is about 918.5918833825.

It can be divided in two parts, 77511 and 7980, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 775117980 in words is "seven hundred seventy-five million, one hundred seventeen thousand, nine hundred eighty".