77101025040 has 640 divisors, whose sum is σ = 308140277760. Its totient is φ = 17563392000.

The previous prime is 77101024993. The next prime is 77101025041. The reversal of 77101025040 is 4052010177.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 77101024995 and 77101025013.

It is not an unprimeable number, because it can be changed into a prime (77101025041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20019115 + ... + 20022965.

It is an arithmetic number, because the mean of its divisors is an integer number (481469184).

Almost surely, 2^77101025040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77101025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154070138880).

77101025040 is an abundant number, since it is smaller than the sum of its proper divisors (231039252720).

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

77101025040 is a wasteful number, since it uses less digits than its factorization.

77101025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 77101025040 in words is "seventy-seven billion, one hundred one million, twenty-five thousand, forty".