10077690 has 64 divisors (see below), whose sum is σ = 28410624. Its totient is φ = 2239488.

The previous prime is 10077689. The next prime is 10077721. The reversal of 10077690 is 9677001.

It is a super-2 number, since 2×10077690² = 203119671472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 6.

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, 7122 + ... + 8418.

It is an arithmetic number, because the mean of its divisors is an integer number (443916).

Almost surely, 2^10077690 is an apocalyptic number.

10077690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10077690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14205312).

10077690 is an abundant number, since it is smaller than the sum of its proper divisors (18332934).

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

10077690 is a wasteful number, since it uses less digits than its factorization.

10077690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 10077690 is about 3174.5377616277. The cubic root of 10077690 is about 215.9999571331. Note that the first 4 decimals are identical.

Subtracting from 10077690 its reverse (9677001), we obtain a square (400689 = 633²).

The spelling of 10077690 in words is "ten million, seventy-seven thousand, six hundred ninety".