787648050 has 270 divisors, whose sum is σ = 2563511613. Its totient is φ = 180033840.

The previous prime is 787648039. The next prime is 787648073. The reversal of 787648050 is 50846787.

It can be written as a sum of positive squares in 2 ways, for example, as 771895089 + 15752961 = 27783^2 + 3969^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=19845.

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

It is a junction number, because it is equal to n+sod(n) for n = 787647987 and 787648005.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 112521147 + ... + 112521153.

Almost surely, 2^787648050 is an apocalyptic number.

787648050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 787648050

787648050 is an abundant number, since it is smaller than the sum of its proper divisors (1775863563).

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

787648050 is an frugal number, since it uses more digits than its factorization.

787648050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 787648050 is about 28065.0681452941. The cubic root of 787648050 is about 923.5152415933.

The spelling of 787648050 in words is "seven hundred eighty-seven million, six hundred forty-eight thousand, fifty".