90078372756 has 72 divisors (see below), whose sum is σ = 236602102464. Its totient is φ = 29966267520.

The previous prime is 90078372751. The next prime is 90078372763. The reversal of 90078372756 is 65727387009.

It is a super-2 number, since 2×90078372756² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90078372751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396796 + ... + 581036.

It is an arithmetic number, because the mean of its divisors is an integer number (3286140312).

Almost surely, 2^90078372756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90078372756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118301051232).

90078372756 is an abundant number, since it is smaller than the sum of its proper divisors (146523729708).

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

90078372756 is a wasteful number, since it uses less digits than its factorization.

90078372756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184763 (or 184749 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 90078372756 in words is "ninety billion, seventy-eight million, three hundred seventy-two thousand, seven hundred fifty-six".