85400077770 has 288 divisors, whose sum is σ = 266575615488. Its totient is φ = 18899225856.

The previous prime is 85400077769. The next prime is 85400077783. The reversal of 85400077770 is 7777000458.

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 143 ways as a sum of consecutive naturals, for example, 36385737 + ... + 36388083.

It is an arithmetic number, because the mean of its divisors is an integer number (925609776).

Almost surely, 2^85400077770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85400077770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133287807744).

85400077770 is an abundant number, since it is smaller than the sum of its proper divisors (181175537718).

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

85400077770 is a wasteful number, since it uses less digits than its factorization.

85400077770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The spelling of 85400077770 in words is "eighty-five billion, four hundred million, seventy-seven thousand, seven hundred seventy".