77777600040 has 288 divisors, whose sum is σ = 303534466560. Its totient is φ = 17204140800.

The previous prime is 77777600039. The next prime is 77777600041. The reversal of 77777600040 is 4000677777.

It is an interprime number because it is at equal distance from previous prime (77777600039) and next prime (77777600041).

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 (77777600041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 475725 + ... + 617955.

It is an arithmetic number, because the mean of its divisors is an integer number (1053939120).

Almost surely, 2^77777600040 is an apocalyptic number.

77777600040 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 77777600040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151767233280).

77777600040 is an abundant number, since it is smaller than the sum of its proper divisors (225756866520).

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

77777600040 is a wasteful number, since it uses less digits than its factorization.

77777600040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142293 (or 142279 counting only the distinct ones).

The product of its (nonzero) digits is 403368, while the sum is 45.

The spelling of 77777600040 in words is "seventy-seven billion, seven hundred seventy-seven million, six hundred thousand, forty".