77290181640 has 512 divisors, whose sum is σ = 308385792000. Its totient is φ = 16835309568.

The previous prime is 77290181593. The next prime is 77290181651. The reversal of 77290181640 is 4618109277.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58596901 + ... + 58598219.

It is an arithmetic number, because the mean of its divisors is an integer number (602316000).

Almost surely, 2^77290181640 is an apocalyptic number.

77290181640 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 77290181640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154192896000).

77290181640 is an abundant number, since it is smaller than the sum of its proper divisors (231095610360).

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

77290181640 is a wasteful number, since it uses less digits than its factorization.

77290181640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 77290181640 in words is "seventy-seven billion, two hundred ninety million, one hundred eighty-one thousand, six hundred forty".