77030155440 has 320 divisors, whose sum is σ = 303801984000. Its totient is φ = 17573677056.

The previous prime is 77030155381. The next prime is 77030155463. The reversal of 77030155440 is 4455103077.

It is a happy number.

77030155440 is a `hidden beast` number, since 7 + 70 + 30 + 1 + 554 + 4 + 0 = 666.

It is a super-2 number, since 2×77030155440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77030155395 and 77030155404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8508036 + ... + 8517084.

It is an arithmetic number, because the mean of its divisors is an integer number (949381200).

Almost surely, 2^77030155440 is an apocalyptic number.

77030155440 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 77030155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151900992000).

77030155440 is an abundant number, since it is smaller than the sum of its proper divisors (226771828560).

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

77030155440 is a wasteful number, since it uses less digits than its factorization.

77030155440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9641 (or 9629 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 77030155440 in words is "seventy-seven billion, thirty million, one hundred fifty-five thousand, four hundred forty".