780378413095008 has 3072 divisors, whose sum is σ = 3135736074240000. Its totient is φ = 183037833216000.

The previous prime is 780378413094971. The next prime is 780378413095009. The reversal of 780378413095008 is 800590314873087.

780378413095008 is a `hidden beast` number, since 7 + 8 + 0 + 37 + 84 + 13 + 0 + 9 + 500 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780378413095009) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 467572445598 + ... + 467572447266.

It is an arithmetic number, because the mean of its divisors is an integer number (1020747420000).

Almost surely, 2^{780378413095008} is an apocalyptic number.

780378413095008 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780378413095008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567868037120000).

780378413095008 is an abundant number, since it is smaller than the sum of its proper divisors (2355357661144992).

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

780378413095008 is a wasteful number, since it uses less digits than its factorization.

780378413095008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 780378413095008 in words is "seven hundred eighty trillion, three hundred seventy-eight billion, four hundred thirteen million, ninety-five thousand, eight".