96777090 has 96 divisors (see below), whose sum is σ = 272802816. Its totient is φ = 23708160.

The previous prime is 96777061. The next prime is 96777091. The reversal of 96777090 is 9077769.

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 (96777091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65055 + ... + 66525.

It is an arithmetic number, because the mean of its divisors is an integer number (2841696).

Almost surely, 2^96777090 is an apocalyptic number.

96777090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96777090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136401408).

96777090 is an abundant number, since it is smaller than the sum of its proper divisors (176025726).

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

96777090 is a wasteful number, since it uses less digits than its factorization.

96777090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 96777090 is about 9837.5347521623. The cubic root of 96777090 is about 459.1178588654.

The spelling of 96777090 in words is "ninety-six million, seven hundred seventy-seven thousand, ninety".