7770263040 has 320 divisors, whose sum is σ = 27969638400. Its totient is φ = 2044403712.

The previous prime is 7770263023. The next prime is 7770263063. The reversal of 7770263040 is 403620777.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×7770263040³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7770262986 and 7770263004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5459769 + ... + 5461191.

It is an arithmetic number, because the mean of its divisors is an integer number (87405120).

Almost surely, 2^7770263040 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 7770263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984819200).

7770263040 is an abundant number, since it is smaller than the sum of its proper divisors (20199375360).

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

7770263040 is a wasteful number, since it uses less digits than its factorization.

7770263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 7770263040 is about 88149.0955143613. The cubic root of 7770263040 is about 1980.6690117586.

The spelling of 7770263040 in words is "seven billion, seven hundred seventy million, two hundred sixty-three thousand, forty".