77670109440 has 2016 divisors, whose sum is σ = 370609053696. Its totient is φ = 15109079040.

The previous prime is 77670109381. The next prime is 77670109441. The reversal of 77670109440 is 4490107677.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×77670109440² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (77670109441) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1652555497 + ... + 1652555543.

It is an arithmetic number, because the mean of its divisors is an integer number (183833856).

Almost surely, 2^77670109440 is an apocalyptic number.

77670109440 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 77670109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185304526848).

77670109440 is an abundant number, since it is smaller than the sum of its proper divisors (292938944256).

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

77670109440 is a wasteful number, since it uses less digits than its factorization.

77670109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 77670109440 in words is "seventy-seven billion, six hundred seventy million, one hundred nine thousand, four hundred forty".