78075032490 has 1344 divisors, whose sum is σ = 298422786816. Its totient is φ = 14485008384.

The previous prime is 78075032479. The next prime is 78075032491. The reversal of 78075032490 is 9423057087.

78075032490 is a `hidden beast` number, since 7 + 80 + 7 + 50 + 32 + 490 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (78075032491) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1815698409 + ... + 1815698451.

It is an arithmetic number, because the mean of its divisors is an integer number (222040764).

Almost surely, 2^78075032490 is an apocalyptic number.

78075032490 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 78075032490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149211393408).

78075032490 is an abundant number, since it is smaller than the sum of its proper divisors (220347754326).

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

78075032490 is a wasteful number, since it uses less digits than its factorization.

78075032490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 78075032490 in words is "seventy-eight billion, seventy-five million, thirty-two thousand, four hundred ninety".